{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "right-integral",
   "metadata": {},
   "source": [
    "### Basic Dendrogram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "surrounded-telephone",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import plotly.figure_factory as ff\n",
    "import numpy as np\n",
    "np.random.seed(1)\n",
    "\n",
    "X = np.random.rand(15, 12) # 15 samples, with 12 dimensions each\n",
    "fig = ff.create_dendrogram(X)\n",
    "fig.update_layout(width=800, height=500)\n",
    "fig.show(renderer=\"png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "breeding-extra",
   "metadata": {},
   "source": [
    "### Set Color Threshold"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "cardiac-anthony",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import plotly.figure_factory as ff\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "X = np.random.rand(15, 10) # 15 samples, with 10 dimensions each\n",
    "fig = ff.create_dendrogram(X, color_threshold=1.5)\n",
    "fig.update_layout(width=800, height=500)\n",
    "fig.show(renderer=\"png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "abroad-fellowship",
   "metadata": {},
   "source": [
    "### Set Orientation and Add Labels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "isolated-pharmacology",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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IrKuAAMk2L0AyPwES+hknQGDaAgJk2vt1dwTWVUCAZJsXIJmfAAn9jBMgMG0BATLt/bo7AusqIECyzQuQzE+AhH7GCRCYtoAAmfZ+3R2BdRUQINnmBUjmJ0BCP+MECExbQIBMe7/ujsC6CgiQbPMCJPMTIKGfcQIEpi0gQKa9X3dHYF0FBEi2eQGS+QmQ0M84AQLTFhAg096vuyOwrgICJNu8AMn8BEjoZ5wAgWkLCJBp79fdEVhXAQGSbV6AZH4CJPQzToDAtAUEyLT36+4IrKuAAMk2L0AyPwES+hknQGDaAl2A3PPAn5anPe1p077Rk3R3N77uXeVFZz7vJF3dZQmsr4AAyXYvQDI/ARL6GSdAYNoCAmTc/QqQcX2dncBWAgIkezYESOYnQEI/4wQITFvAR7DG2e++P/0X5ZuP/U0RIOP4OiuB7QQEyHZCJ/5zAZL5CZDQzzgBAtMWECDj7FeAjOPqrAQWFRAgi0od/zgBkvkJkNDPOAEC0xYQIOPsV4CM4+qsBBYVECCLSgmQTGqL6YceeXyU8zopAQIEpiAgQMbZogAZx9VZCSwqIEAWlRIgmZQAGcXPSQkQmLaAABlnvwJkHFdnJbCogABZVEqAZFICZBQ/JyVAYNoCAmSc/QqQcVydlcCiAgJkUSkBkkkJkFH8nJQAgWkLCJBx9itAxnF1VgKLCgiQRaUESCYlQEbxc1ICBKYtIEDG2a8AGcfVWQksKiBAFpUSIJmUABnFz0kJEJi2gAAZZ78CZBxXZyWwqIAAWVRKgGRSAmQUPyclQGDaAgJknP0KkHFcnZXAogICZFEpAZJJCZBR/JyUAIFpCwiQcfYrQMZxdVYCiwoIkEWlBEgmJUBG8XNSAgSmLSBAxtmvABnH1VkJLCogQBaVEiCZlAAZxc9JCRCYtoAAGWe/AmQcV2clsKiAAFlUSoBkUgJkFD8nJUBg2gICZJz9CpBxXJ2VwKICAmRRKQGSSQmQUfyclACBaQsIkHH2K0DGcXVWAosKCJBFpQRIJiVARvFzUgIEpi0gQMbZrwAZx9VZCSwqIEAWlRIgmZQAGcXPSQkQmLaAABlnvwJkHFdnJbCogABZVEqAZFICZBQ/JyVAYNoCAmSc/QqQcVydlcCiAgJkUSkBkkkJkFH8nJQAgWkLCJBx9itAxnF1VgKLCgiQRaUESCYlQEbxc1ICBKYtIEDG2a8AGcfVWQksKiBAFpUSIJmUABnFz0kJEJi2gAAZZ78CZBxXZyWwqIAAWVRKgGRSAmQUPyclQGDaAgJknP0KkHFcnZXAogICZFEpAZJJCZBR/JyUAIFpCwiQcfYrQMZxdVYCiwoIkEWlBEgmJUBG8XNSAgSmLSBAxtmvABnH1VkJLCogQBaVWpMAue3A4dmdvmfvrvL1bz9U3r//zvKRfVeXFz9/RyYlQEbxc1ICBKYtIEDG2a8AGcfVWQksKiBAFpWaWIDc/5UHy9vffVP58PVXlSt3XrZxdwIkeyBMEyBAYEgBATKk5n8/lwAZx9VZCSwqIEAWlZpYgMxD47vff7R86LqrymmnPmN2h5sDJKNZbPqhRx5f7EBHESBAYA0FBMg4Sxcg47g6K4FFBQTIolITCpDHfvDDsv93PlV+8x/9z+Xmf/Hpct27fmPjI1bbvQNyz5Evlg/cfNdM46UXvqh87KZryplnnF7m76gc/fvb8QqQ7YT8OQEC6ywgQMbZvgAZx9VZCSwqIEAWlZpQgHSx8K//7X+Yfc+jC44XnH/exsewThQgXXwc/uy9G9HxV//pm+W0U08pjz7238q+/XeWAzdfOwuZ7rhvfee7s/Nv90uAbCfkzwkQWGcBATLO9gXIOK7OSmBRAQGyqNSEAqSLjH/w6l8sl1x8weydi1sPHN6Iiq0CZMe5Z5cP3nJXufQVFz3lOyMdy9Ef2+q+vH7LHZ8p+9939ezdke7XoUOHjhHcvXt3uezj12QbME2AAIE1ENh10RvKlRe+bg3utM0tCpA2zq5CYCuBLkC2+rshte0Fnvbkk08+uf1hy3PE0XHQfRzrnTfcXq7du2sWJNsFyFuuuHx23OZf3cwnPn3kKb+3+eNZ3R8cPHjwGIQ9e/YIkOV5NLwSAgSWWECADLscATKsp7MR6CvQBchWfzfse651PH7lAmTzdzg2L+wdb9258ZGs7veP/jG8270DsvljXH0eBB/B6qPlWAIECBAYQkCADKHoHATqBXwEq96um1ypAHn8iR8f92NUm98V+d3P/KuZyPH+OSBHfwfkj+/9y/KSFz7vmO+AdPOfuudPys7XX7rxEaytmAVI9gCaJkCAAIH+AgKkv5kJAkMKCJBMc6UCZKt/sOA8TLqPV3VfTt8qQLrf3/xxq61+ClZ33Pwdle14Bch2Qv6cAAECBIYWECBDizofgX4CAqSf19FHr1SAZLc6zrQAGcfVWQkQIEBgawEB4ukgcHIFBEjmL0AyvyJAQkDjBAgQINBbQID0JjNAYFABAZJxCpDMT4CEfsYJECBAoL+AAOlvZoLAkAICJNMUIJmfAAn9jBMgQIBAfwEB0t/MBIEhBQRIpilAMj8BEvoZJ0CAAIH+AgKkv5kJAkMKCJBMU4BkfgIk9DNOgAABAv0FBEh/MxMEhhQQIJmmAMn8BEjoZ5wAAQIE+gsIkP5mJggMKSBAMk0BkvkJkNDPOAECBAj0FxAg/c1MEBhSQIBkmgIk8xMgoZ9xAgQIEOgvIED6m5kgMKSAAMk0BUjmJ0BCP+MECBAg0F9AgPQ3M0FgSAEBkmkKkMxPgIR+xgkQIECgv4AA6W9mgsCQAgIk0xQgmZ8ACf2MEyBAgEB/AQHS38wEgSEFBEimKUAyPwES+hknQIAAgf4CAqS/mQkCQwoIkExTgGR+AiT0M06AAAEC/QUESH8zEwSGFBAgmaYAyfwESOhnnAABAgT6CwiQ/mYmCAwpIEAyTQGS+QmQ0M84AQIECPQXECD9zUwQGFJAgGSaAiTzEyChn3ECBAgQ6C8gQPqbmSAwpIAAyTQFSOYnQEI/4wQIECDQX0CA9DczQWBIAQGSaQqQzE+AhH7GCRAgQKC/gADpb2aCwJACAiTTFCCZnwAJ/YwTIECAQH8BAdLfzASBIQUESKYpQDI/ARL6GSdAgACB/gICpL+ZCQJDCgiQTFOAZH4CJPQzToAAAQL9BQRIfzMTBIYUECCZpgDJ/ARI6GecAAECBPoLCJD+ZiYIDCkgQDJNAZL5CZDQzzgBAgQI9BcQIP3NTBAYUkCAZJoCJPMTIKGfcQIECBDoLyBA+puZIDCkgADJNAVI5idAQj/jBAgQINBfQID0NzNBYEgBAZJpCpDMT4CEfsYJECBAoL9AFyD3/PvXlL/70f/Qf9gEAQKxwJO3/EJ8jnU+gQAJt//QI4+HZzBOgAABAgT6CQiQfl6OJjC0gADJRAVI5ucdkNDPOAECBAj0F/ARrP5mJggMJfDcm75TBEimKUAyPwES+hknQIAAgf4CAqS/mQkCQwkIkFxSgISGPoIVAhonQIAAgd4CAqQ3mQECgwkIkJxSgISGAiQENE6AAAECvQUESG8yAwQGExAgOaUACQ0FSAhonAABAgR6CwiQ3mQGCAwmIEBySgESGgqQENA4AQIECPQWECC9yQwQGExAgOSUAiQ0FCAhoHECBAgQ6C0gQHqTGSAwmIAAySkFSGgoQEJA4wQIECDQW0CA9CYzQGAwAQGSUwqQ0FCAhIDGCRAgQKC3gADpTWaAwGACAiSnFCChoQAJAY0TIECAQG8BAdKbzACBwQQESE4pQEJDARICGidAgACB3gICpDeZAQKDCQiQnFKAhIYCJAQ0ToAAAQK9BQRIbzIDBAYTECA5pQAJDQVICGicAAECBHoLCJDeZAYIDCYgQHJKARIaCpAQ0DgBAgQI9BYQIL3JDBAYTECA5JQCJDQUICGgcQIECBDoLSBAepMZIDCYgADJKQVIaChAQkDjBAgQINBbQID0JjNAYDABAZJTCpDQUICEgMYJECBAoLeAAOlNZoDAYAICJKcUIKGhAAkBjRMgQIBAbwEB0pvMAIHBBARITilAQkMBEgIaJ0CAAIHeAgKkN5kBAoMJCJCcUoCEhgIkBDROgAABAr0FBEhvMgMEBhMQIDmlAAkNBUgIaJwAAQIEegsIkN5kBggMJiBAckoBEhoKkBDQOAECBAj0FhAgvckMEBhMQIDklAIkNBQgIaBxAgQIEOgtIEB6kxkgMJiAAMkpBUhoKEBCQOMECBAg0FtAgPQmM0BgMAEBklMubYA89oMflnfecHu5du+ucsnFF8R3ev9XHiy3HjhcPnbTNeXUU04pH7zlrnLpKy4qV+68LDq3AIn4DBMgQIBAhYAAqUAzQmAgAQGSQ570ALntwOHyiU8f2biTN73+0vKh664qT/zoRwIk368zECBAgMAEBQTIBJfqllZGQIDkqzppAfL4Ez+evQvR/eqC47RTnzH71/cc+WI5f8c55SUvfO5oAXLmGafncj89g3dABqN0IgIECBBYUECALAjlMAIjCAiQHPWkBcjmj0QdLwjmH8F68xteUz55+PPl4e89UubvjnSxMv/zrz7wjZnC5j/7+rcfKu/ff2d586++tuz/6KfKSy98UfnHb3tz+fin/uWWH8HqXs/b333T7Fzd8d1HtRYJFQGSP4TOQIAAAQL9BARIPy9HExhSQIDkmictQLqPXnW/3rN313HvYh4YP7/jnNk7JN2vzd/b6IKh+9V9P2R+7K4rLp99p6MLkL3X31p2vu7VG+c/0XdAuj/bt//OcuDma8uLn79j9i7Mt77z3S1f2+YXLEDyh9AZCBAgQKCfgADp5+VoAkMKCJBc86QGyAvOP2/LL4Ef70voXbRsNbM5aObvgHxk39WzoOh+nShAjo6hbv6WOz5T9r/v6o13QQ4dOnSM9u7du8tlH78m34IzECBAgEBvgVc+58Ly3tfu7j03hQEBMoUtuodVFZgHyFZ/N1zV+2r5uk9qgHQ3ut07IJt/CtbRAXL0F9jf8dads/PVBMjmL8J3r+voj2EdPHjwmL3s2bNHgLR8Wl2LAAECmwQEyN+UG1/3rvKiM5/nuSBAoKHAPEC2+rthw5eyspc6aQGy6HdAtgqQLj6++/1HN77Anr4DcqJ3Y060XR/BWtln3wsnQGBFBe5/6Gvl1r/4/SJABMiKPsJe9ooL+AhWvsCTFiA1PwVr8zsgm4Njfq7zzjmr6h2Qo78D0rF+6p4/KTtff+m2X0QXIPlD6AwECBDoIyBASvERrD5PjGMJDCsgQHLPkxYg85fe558DsjlA5l8073461nPOfXY5+8xnlVe9/MKqAOley+afgtX9+/nHubYjFiDbCflzAgQIDCsgQATIsE+UsxHoJyBA+nkd7+iTHiD5LZzcMwiQk+vv6gQIrJ+AABEg6/fUu+NlEhAg+TYESGgoQEJA4wQIEOgpIEAESM9HxuEEBhUQIDmnAAkNBUgIaJwAAQI9BQSIAOn5yDicwKACAiTnFCChoQAJAY0TIECgp4AAESA9HxmHExhUQIDknAIkNBQgIaBxAgQI9BQQIAKk5yPjcAKDCgiQnFOAhIYCJAQ0ToAAgZ4CAkSA9HxkHE5gUAEBknMKkNBQgISAxgkQINBTQIAIkJ6PjMMJDCogQHJOARIaCpAQ0DgBAgR6CggQAdLzkXE4gUEFBEjOKUBCQwESAhonQIBATwEBIkB6PjIOJzCogADJOQVIaChAQkDjBAgQ6CkgQARIz0fG4QQGFRAgOacACQ0FSAhonAABAj0FBIgA6fnIOJzAoAICJOcUIKGhAAkBjRMgQKCngAARID0fGYcTGFRAgOScAiQ0FCAhoHECBAj0FBAgAqTnI+NwAoMKCJCcU4CEhgIkBDROgACBngICRID0fGQcTmBQAQGScwqQ0FCAhIDGCRAg0FNAgAiQno+MwwkMKiBAck4BEhoKkBDQOAECBHoKCBAB0vORcb59bDIAACAASURBVDiBQQUESM4pQEJDARICGidAgEBPAQEiQHo+Mg4nMKiAAMk5BUhoKEBCQOMECBDoKSBABEjPR8bhBAYVECA5pwAJDQVICGicAAECPQUEiADp+cg4nMCgAgIk5xQgoaEACQGNEyBAoKeAABEgPR8ZhxMYVECA5JwCJDQUICGgcQIECPQUECACpOcj43ACgwoIkJxTgISGAiQENE6AAIGeAgJEgPR8ZBxOYFABAZJzCpDQUICEgMYJECDQU0CACJCej4zDCQwqIEByTgESGgqQENA4AQIEegoIEAHS85FxOIFBBQRIzilAQkMBEgIaJ0CAQE8BASJAej4yDicwqIAAyTkFSGgoQEJA4wQIEOgpIEAESM9HxuEEBhUQIDmnAAkNBUgIaJwAAQI9BboA+d//4vfL03rOTfHwG1/3rvKiM583xVtzTwSWVkCA5KsRIKGhAAkBjRMgQKCngAD572ACpOfD43ACAwgIkBxRgISGAiQENE6AAIGeAj6C1RPM4QQIDCogQHJOARIaCpAQ0DgBAgR6CgiQnmAOJ0BgUAEBknMKkNBQgISAxgkQINBTQID0BHM4AQKDCgiQnFOAhIYCJAQ0ToAAgZ4CAqQnmMMJEBhUQIDknAIkNBQgIaBxAgQI9BQQID3BHE6AwKACAiTnFCChoQAJAY0TIECgp4AA6QnmcAIEBhUQIDmnAAkNBUgIaJwAAQI9BQRITzCHEyAwqIAAyTkFSGgoQEJA4wQIEOgpIEB6gjmcAIFBBQRIzilAQkMBEgIaJ0CAQE8BAdITzOEECAwqIEByTgESGgqQENA4AQIEegoIkJ5gDidAYFABAZJzCpDQUICEgMYJECDQU0CA9ARzOAECgwoIkJxTgISGAiQENE6AAIGeAgKkJ5jDCRAYVECA5JwCJDQUICGgcQIECPQUECA9wRxOgMCgAgIk5xQgoaEACQGNEyBAoKeAAOkJ5nACBAYVECA5pwAJDQVICGicAAECPQUESE8whxMgMKiAAMk5BUhoKEBCQOMECBDoKSBAeoI5nACBQQUESM4pQEJDARICGidAgEBPAQHSE8zhBAgMKiBAck4BEhoKkBDQOAECBHoKCJCeYA4nQGBQAQGScwqQ0FCAhIDGCRAg0FNAgPQEczgBAoMKCJCcU4CEhgIkBDROgACBngICpCeYwwkQGFRAgOScAiQ0FCAhoHECBAj0FBAgPcEcToDAoAICJOcUIKGhAAkBjRMgQKCngADpCeZwAgQGFRAgOacACQ0FSAhonAABAj0FBEhPMIcTIDCogADJOQVIaChAQkDjBAgQ6CkgQHqCOZwAgUEFBEjOOekAuf8rD5ZbDxwuH7vpmnLmGafnWsc5gwAZhdVJCRAgsKWAAPFwECBwMgUESK4/iQC558gXy31f+lr50HVXldNOfcaGigDJHxBnIECAwLIJCJBl24jXQ2C9BARIvu9JB0jOs/0ZvAOyvZEjCBAgMKSAABlS07kIEOgrIED6ih17/KQD5Oh3QL7+7YfK3utvLQ9/75GZxDveurO8Z++u8tgPfljeecPt5asPfGP2+296/aXHvJuyFbUAyR9CZyBAgEAfAQHSR8uxBAgMLSBActG1CZBTTzmlfPCWu8pbrri8XHLxBeXxJ35c/vBzf15+7U2/XP7qwZ+ER/f78xjZdcXl5cqdl20rLEC2JXIAAQIEBhUQIINyOhkBAj0FBEhPsOMcvjYB0t179y7HImFx24HDM6ru3ZH5r0OHDh3Dt3v37nLZx6/Jt+AMBAgQINBb4JXPubC897W7e88ZIECAQCIwD5Ct/m6YnHtdZtcmQLqfgnX0R7A++ds3zN716H510fGJTx/Z2Pv841nz3zh48OAxz8SePXsEyLr8J8V9EiCwdAICZOlW4gURWAuBeYBs9XfDtUAIb3KtAmSz1ebvh/zuZ/5V+e73H9343sfx3gHZytlHsMIn0DgBAgQIECBAYIUEfAQrX9baBEhHdeQL95W3XfmrM7WjA6T7ve4jV913Q7rvipx3zllP+QiWAMkfNmcgQIAAAQIECKy6gADJNziZAPnAzXc9ReOlF76o/OO3vbl8/FP/cvYPIpx/Cf1zX7hvdtxzzn12OXDzteXFz9/xlI9mdb9/9pnPKq96+YUCJH++nIEAAQIECBAgMCkBAZKvcxIBkjPUn8FHsOrtTBIgQIAAAQIEVk1AgOQbEyChoQAJAY0TIECAAAECBFZIQIDkyxIgoaEACQGNEyBAgAABAgRWSECA5MsSIKGhAAkBjRMgQIAAAQIEVkhAgOTLEiChoQAJAY0TIECAAAECBFZIQIDkyxIgoaEACQGNEyBAgAABAgRWSECA5MsSIKGhAAkBjRMgQIAAAQIEVkhAgOTLEiChoQAJAY0TIECAAAECBFZIQIDkyxIgoaEACQGNEyBAgAABAgRWSECA5MsSIKGhAAkBjRMgQIAAAQIEVkhAgOTLEiChoQAJAY0TIECAAAECBFZIQIDkyxIgoaEACQGNEyBAgAABAgRWSECA5MsSIKGhAAkBjRMgQIAAAQIEVkhAgOTLEiChoQAJAY0TIECAAAECBFZIQIDkyxIgoaEACQGNEyBAgAABAgRWSECA5MsSIKGhAAkBjRMgQIAAAQIEVkhAgOTLEiChoQAJAY0TIECAAAECBFZIQIDkyxIgoaEACQGNEyBAgAABAgRWSECA5MsSIKGhAAkBjRMgQIAAAQIEVkhAgOTLEiChoQAJAY0TIECAAAECBFZIQIDkyxIgoaEACQGNEyBAgAABAgRWSECA5MsSIKGhAAkBjRMgQIAAAQIEVkhAgOTLEiChoQAJAY0TIECAAAECBFZIQIDkyxIgoaEACQGNEyBAgAABAgRWSECA5MsSIKGhAAkBjRMgQIAAAQIEVkhAgOTLEiChoQAJAY0TIECAAAECBFZIQIDkyxIgoaEACQGNEyBAgAABAgRWSECA5MsSIKGhAAkBjRMgQIAAAQIEVkhAgOTLEiChoQAJAY0TIECAAAECBFZIQIDkyxIgoaEACQGNEyBAgAABAgRWSECA5MsSIKGhAAkBjRMgQIAAAQIEVkhAgOTLEiChoQAJAY0TIECAAAECBFZIQIDkyxIgoaEACQGNEyBAgAABAgRWSECA5MsSIKGhAAkBjRMgQIAAAQIEVkhAgOTLEiChoQAJAY0TIECAAAECBFZIQIDkyxIgoaEACQGNEyBAgAABAgRWSECA5MsSIKGhAAkBjRMgQIAAAQIEVkhAgOTLEiChoQAJAY0TIECAAAECBFZIQIDkyxIgoaEACQGNEyBAgAABAgRWSECA5MsSIKGhAAkBjRMgQIAAAQIEVkhAgOTLEiChoQAJAY0TIECAAAECBFZIQIDkyxIgoaEACQGNEyBAgAABAgRWSECA5MsSIKGhAAkBjRMgQIAAAQIEVkhAgOTLEiChoQAJAY0TIECAAAECBFZIQIDkyxIgoaEACQGNEyBAgAABAgRWSECA5MsSIKGhAAkBjRMgQIAAAQIEVkhAgOTLEiChoQAJAY0TIECAAAECBFZIQIDkyxIgoaEACQGNEyBAgAABAgRWSECA5MsSIKGhAAkBjRMgQIAAAQIEVkhAgOTLEiChoQAJAY0TIECAAAECBFZIQIDkyxIgoaEACQGNEyBAgAABAgRWSECA5MsSIKGhAAkBjRMgQIAAAQIEVkhAgOTLEiChoQAJAY0TIECAAAECBFZIQIDky1qqALn/Kw+Wt7/7po27etPrLy0fuu6qctqpz8jvdKQzCJCRYJ2WAAECBAgQILCEAgIkX8rSBEgXH/v231kO3HxtefHzd8zu7LYDh8tffuXB8rGbrilnnnF6frcjnEGAjIDqlAQIECBAgACBJRUQIPliliJAHn/ix+WDt9xVLn3FReXKnZdt3NXm3/+VX3p5eecNt5ddV1y+cczmaDnr506f/flXH/jGbH7zuydf//ZD5f377yxv/tXXlv0f/dTsz9/x1p3lPXt3zf71Yz/44Zaz2xELkO2E/DkBAgQIECBAYDoCAiTf5VIEyDwQPrLv6o13P+a3ds+RL5Zvfee7s1iYh8K1e3eVl7zwuWXfjXeW6971G7OZLka6X5dcfMHGcfNY6c6/9/pby87XvfqY83THn2h2O2IBsp2QPydAgAABAgQITEdAgOS7XJoAueWOz5T977v6mI9adQFy35e+tvFdkPm7Hmef+axy7W/++iw4jver+/hW96sLl6MDZ/7OyluuuPy485tn5+c+dOjQMZfZvXt3Ka97db4FZyBAgACBJgKP/tMbyxOvfG2Ta7kIAQLTFJgHyJZ/N5zmbQ96V0sTIN1HpLZ7B2R+58cLhO7Put//xKePbADNP2a1SIBsNTs/2cGDB4+B37NnjwAZ9HF0MgIECIwrIEDG9XV2AusgMA+QLf9uuA4I4T0uRYAs8h2Q+XdDundA5pHxP/3yKze+D9IFxHe//+jGOyV93gE50ex2vj6CtZ2QPydAgMDJFzhr/75y6pf/ogiQk78Lr4DAqgv4CFa+waUIkO42FvkpWN13QObf++hmNr9rsjk45kFz3jlnLfQRrBPNbkcsQLYT8ucECBA4+QIC5OTvwCsgMBUBAZJvcmkCZB4hW/1zQOZfQN/qp2B1890XzR/+3iPlOec+u3TfEXnVyy9cKEDmX1I/3ux2xAJkOyF/ToAAgZMvIEBO/g68AgJTERAg+SaXKkDy22l/BgHS3twVCRAg0FdAgPQVczwBAlsJCJD82RAgoaEACQGNEyBAoIGAAGmA7BIE1kRAgOSLFiChoQAJAY0TIECggYAAaYDsEgTWRECA5IsWIKGhAAkBjRMgQKCBgABpgOwSBNZEQIDkixYgoaEACQGNEyBAoIGAAGmA7BIE1kRAgOSLFiChoQAJAY0TIECggYAAaYDsEgTWRECA5IsWIKGhAAkBjRMgQKCBgABpgOwSBNZEQIDkixYgoaEACQGNEyBAoIGAAGmA7BIE1kRAgOSLFiChoQAJAY0TIECggYAAaYDsEgTWRECA5IsWIKGhAAkBjRMgQKCBgABpgOwSBNZEQIDkixYgoaEACQGNEyBAoIGAAGmA7BIE1kRAgOSLFiChoQAJAY0TIECggYAAaYDsEgTWRECA5IsWIKGhAAkBjRMgQKCBgABpgOwSBNZEQIDkixYgoaEACQGNEyBAoIGAAGmA7BIE1kRAgOSLFiChoQAJAY0TIECggYAAaYDsEgTWRECA5IsWIKGhAAkBjRMgQKCBgABpgOwSBNZEQIDkixYgoaEACQGNEyBAoIGAAGmA7BIE1kRAgOSLFiChoQAJAY0TIECggYAAaYDsEgTWRECA5IsWIKGhAAkBjRMgQKCBgABpgOwSBNZEQIDkixYgoaEACQGNEyBAoIGAAGmA7BIE1kRAgOSLFiChoQAJAY0TIECggYAAaYDsEgTWRECA5IsWIKGhAAkBjRMgQKCBgABpgOwSBNZEQIDkixYgoaEACQGNEyBAoIGAAGmA7BIE1kRAgOSLFiChoQAJAY0TIECggYAAaYDsEgTWRECA5IsWIKGhAAkBjRMgQKCBgABpgOwSBNZEQIDkixYgoaEACQGNEyBAoIGAAGmA7BIE1kRAgOSLFiChoQAJAY0TIECggUAXIP/bf3tt+dwZFze4mku0FPjnbzizvOOVz2x5SddacwEBkj8AAiQ0FCAhoHECBAg0EBAgDZBP0iUEyEmCX+PLCpB8+QIkNBQgIaBxAgQINBDwEawGyI0v8YE/eazc9aW/KwKkMbzLFQGSPwQCJDQUICGgcQIECDQQECANkBtfQoA0Bne5DQEBkj8MAiQ0FCAhoHECBAg0EBAgDZAbX0KANAZ3OQEy4DMgQEJMARICGidAgEADAQHSALnxJQRIY3CXEyADPgMCJMQUICGgcQIECDQQECANkBtfQoA0Bnc5ATLgMyBAQkwBEgIaJ0CAQAMBAdIAufElBEhjcJcTIAM+AwIkxBQgIaBxAgQINBAQIA2QG19CgDQGdzkBMuAzIEBCTAESAhonQIBAAwEB0gC58SUESGNwlxMgAz4DAiTEFCAhoHECBAg0EBAgDZAbX0KANAZ3OQEy4DMgQEJMARICGidAgEADAQHSALnxJQRIY3CXEyADPgMCJMQUICGgcQIECDQQECANkBtfQoA0Bnc5ATLgMyBAQkwBEgIaJ0CAQAMBAdIAufElBEhjcJcTIAM+AwIkxBQgIaBxAgQINBAQIA2QG19CgDQGdzkBMuAzIEBCTAESAhonQIBAAwEB0gC58SUESGNwlxMgAz4DAiTEFCAhoHECBAg0EBAgDZAbX0KANAZ3OQEy4DMgQEJMARICGidAgEADAQHSALnxJQRIY3CXEyADPgMCJMQUICGgcQIECDQQECANkBtfQoA0Bnc5ATLgMyBAQkwBEgIaJ0CAQAMBAdIAufElBEhjcJcTIAM+AwIkxBQgIaBxAgQINBAQIA2QG19CgDQGdzkBMuAzIEBCTAESAhonQIBAAwEB0gC58SUESGNwlxMgAz4DAiTEFCAhoHECBAg0EBAgDZAbX0KANAZ3OQEy4DMgQEJMARICGidAgEADAQHSALnxJQRIY3CXEyADPgMCJMQUICGgcQIECDQQECANkBtfQoA0Bnc5ATLgMyBAQkwBEgIaJ0CAQAMBAdIAufElBEhjcJcTIAM+AwKklHLPkS+W+770tfKh664qp536jF68AqQXl4MJECBwUgQEyElhH/WiAmRUXic/gcBzb/pOefKWX2AUCKxMgDz+xI/LB2+5q/yXh75fPnbTNeXMM06f3fZjP/hheecNt8/+9ebf72MiQPpoOZYAAQKrJyBAVm9n271iAbKdkD8fS0CA5LIrFyA/+OHflzdefkm5cudls7vv4uGP772/dL8vQPIHwhkIECAwRQEBMr2tCpDp7XRV7kiA5JtauQB5/T/4H8sX/vWXy75/8rbZ3e//nU+V7vd+9w8+vxEgX//2Q2Xv9beWh7/3yOyYd7x1Z3nP3l0bwdJ93OqZz/yZ8gd/9KezP3vB+ec95SNYXdTc8Xt/VA7cfG158fN3nFDZR7Dyh9AZCBAgMLaAABlbuP35BUh7c1f8iYAAyZ+ElQuQt1xxefnOQ9+f3fn5O86Z/evu/9564PBGgPzxvX9ZXvLC583iYR4j+/ddXS65+ILZOyYfuPmu8snfvmH277tfmz+C9VcPfqPc/dl7F/4+iADJH0JnIECAwNgCAmRs4fbnFyDtzV1RgAz1DKxkgLzkhc8t+268szzrmT8zeyfkr7/5N08JkM048++OXPqKi2Yf2zre9z3mv/fmX33N7J2P432U69ChQ8eY7969u5TXvXqoXTgPAQIECIws8Og/vbE88crXjnwVp28hIEBaKLvG8QTm74Bs+XdDbNsKrGSAdO9c3Hbg8OyjU11U3P+VB58SIPPo+NwX7tsA+PD1V50wQLp3Rbpf8+OOljt48OAxmHv27BEg2z5iDiBAgMDyCAiQ5dlF+koESCpovlZgHiBb/t2w9sRrNLeyAbJ5R5sD5NRTTpn9tKzzzjlr9r2PRd8BOfzZe8vt/+y3yu0fv7t0H/Oafzxru2fBR7C2E/LnBAgQIEBgeAEBMrypMy4m4Dsgizmd6KjJBsj8I1fzH9O764rLt/0IVvfPAXniRz+a/Vjfa/fuWihCBEj+EDoDAQIECBDoKyBA+oo5figBAZJLTi5Aun8+SPeOyNvffdNM5znnPrucfeazyq5/+CsLBUj3DyI8+ovrJ2IWIPlD6AwECBAgQKCvgADpK+b4oQQESC65MgGS3+o4ZxAg47g6KwECBAgQOJGAAPF8nCwBAZLLC5DQUICEgMYJECBAgECFgACpQDMyiIAAyRkFSGgoQEJA4wQIECBAoEJAgFSgGRlEQIDkjAIkNBQgIaBxAgQIECBQISBAKtCMDCIgQHJGARIaCpAQ0DgBAgQIEKgQECAVaEYGERAgOaMACQ0FSAhonAABAgQIVAgIkAo0I4MICJCcUYCEhgIkBDROgAABAgQqBARIBZqRQQQESM4oQEJDARICGidAgAABAhUCAqQCzcggAgIkZxQgoaEACQGNEyBAgACBCgEBUoFmZBABAZIzCpDQUICEgMYJECBAgECFgACpQDMyiIAAyRkFSGgoQEJA4wQIECBAoEJAgFSgGRlEQIDkjAIkNBQgIaBxAgQIECBQISBAKtCMDCIgQHJGARIaCpAQ0DgBAgQIEKgQECAVaEYGERAgOaMACQ0FSAhonAABAgQIVAgIkAo0I4MICJCcUYCEhgIkBDROgAABAgQqBARIBZqRQQQESM4oQEJDARICGidAgAABAhUCAqQCzcggAgIkZxQgoaEACQGNEyBAgACBCgEBUoFmZBABAZIzCpDQUICEgMYJECBAgECFgACpQDMyiIAAyRkFSGgoQEJA4wQIECBAoEJAgFSgGRlEQIDkjAIkNBQgIaBxAgQIECBQISBAKtCMDCIgQHJGARIaCpAQ0DgBAgQIEKgQECAVaEYGERAgOaMACQ0FSAhonAABAgQIVAgIkAo0I4MICJCcUYCEhgIkBDROgAABAgQqBARIBZqRQQQESM4oQEJDARICGidAgAABAhUCAqQCzcggAgIkZxQgoaEACQGNEyBAgACBCgEBUoFmZBABAZIzCpDQUICEgMYJECBAgECFgACpQDMyiIAAyRkFSGgoQEJA4wQIECBAoEJgFiD/z9+V8rSKYSOjC9zztnPKq88/ZfTrnIwLCJBcXYCEhgIkBDROgAABAgQqBARIBVrDEQHSEHsFLyVAwqUJkBDQOAECBAgQqBDwEawKtAYj/+vvf7/85X/9UREgDbBX+BICJFyeAAkBjRMgQIAAgQoBAVKB1mBEgDRAnsAlBEi4RAESAhonQIAAAQIVAgKkAq3BiABpgDyBSwiQcIkCJAQ0ToAAAQIEKgQESAVagxEB0gB5ApcQIOESBUgIaJwAAQIECFQICJAKtAYjAqQB8gQuIUDCJQqQENA4AQIECBCoEBAgFWgNRgRIA+QJXEKAhEsUICGgcQIECBAgUCEgQCrQGowIkAbIE7iEAAmXKEBCQOMECBAgQKBCQIBUoDUYESANkCdwCQESLlGAhIDGCRAgQIBAhYAAqUBrMCJAGiBP4BICJFyiAAkBjRMgQIAAgQoBAVKB1mBEgDRAnsAlBEi4RAESAhonQIAAAQIVAgKkAq3BiABpgDyBSwiQcIkCJAQ0ToAAAQIEKgQESAVagxEB0gB5ApcQIOESBUgIaJwAAQIECFQICJAKtAYjAqQB8gQuIUDCJQqQENA4AQIECBCoEBAgFWgNRgRIA+QJXEKAhEsUICGgcQIECBAgUCEgQCrQGowIkAbIE7iEAAmXKEBCQOMECBAgQKBCQIBUoDUYESANkCdwCQESLlGAhIDGCRAgQIBAhYAAqUBrMCJAGiBP4BICJFyiAAkBjRMgQIAAgQoBAVKB1mBEgDRAnsAlBEi4RAESAhonQIAAAQIVAgKkAq3BiABpgDyBSwiQcIkCJAQ0ToAAAQIEKgQESAVagxEB0gB5ApcQIOESBUgIaJwAAQIECFQICJAKtAYjAqQB8gQuIUDCJQqQENA4AQIECBCoEBAgFWgNRgRIA+QJXEKAhEsUICGgcQIECBAgUCEgQCrQGowIkAbIE7iEAAmXKEBCQOMECBAgQKBCQIBUoDUYESANkCdwibUIkHuOfLHc96WvlQ9dd1U57dRnDLo2ATIop5MRIECAAIGFBATIQkzNDxIgzclX8oIrFyCPP/Hj8sFb7iqf+8J95TnnPrscuPna8uLn7zghvgBZyWfTiyZAgAABAlsKCJDlfDgEyHLuZdle1coFyBzwsR/8sOy78c5y3bt+Q4As21Pl9RAgQIAAgZEFBMjIwJWnFyCVcGs2NqkAue3A4fKJTx+ZrfAdb91Z3rN31+xfz98BeeYzf6b8wR/96ez3PvnbN5RLLr6gdCHzzhtuL29+w2vKJw9/vjz8vUfKm15/6cIf1/IRrDX7T4zbJUCAAIGlEBAgS7GGY16EAFnOvSzbq5pMgGz+mFWH3H1M67xzzppFSPdnH7j5ro3ouP8rD5ZbDxwuH7vpmtk+ugD5+R3nzKJjPnvpKy4qV+68bNt9CZBtiRxAgAABAgQGFxAgg5MOckIBMgjj5E8yiQDZce7Zs+DYHA2bI+PP/s2/e8qX0L/+7YfKLXd8pux/39UbAXLt3l2zd0S6X907KS84/7ynBMihQ4eOeRh2795dXvLlL0/+IXGDBAgQIHDyBN74s2eU95994u86nrxXd/KuLEBOnv2JrrxOAbLV3w2XczPL9aomFSBvueLyjYjYHBlDBMjBgweP2dyePXsEyHI9z14NAQIEJicgQI6/UgGynI/6OgXIVn83XM7NLNermlSAjPkOyFZr8xGs5XqgvRoCBAhMReDzf/e35cZHHi4CRICs0jO9TgGySntZtte6sgGy+SNWZ55x+ux7Hoc/e+/sex2nnnLKMd8B2fzPAan5CJYAWbZH1+shQIDAtAUEyIn36x2Q5Xz+Bchy7mXZXtVKBcj8J1Z99YFvzBznP8lqjrrdT8Ga/4MIBciyPYZeDwECBAgcLSBABMgq/qdCgKzi1tq/5pUKkPY821/RR7C2N3IEAQIECPQXECACpP9Tc/InBMjJ38EqvAIBEm5JgISAxgkQIEDguAICRICs4n80BMgqbq39axYgobkACQGNEyBAgIAAqXgGfAekAq3BiABpgDyBSwiQcIkCJAQ0ToAAAQICpOIZECAVaA1GBEgD5AlcQoCESxQgIaBxAgQIEBAgFc+AAKlAazAiQBogT+ASAiRcogAJAY0TIECAgACpeAYESAVagxEB0gB5ApcQIOESBUgIaJwAAQIEBEjFMyBAKtAajAiQBsgTuIQACZcovj/jMQAAIABJREFUQEJA4wQIECAgQCqeAQFSgdZgRIA0QJ7AJQRIuEQBEgIaJ0CAAAEBUvEMCJAKtAYjAqQB8gQuIUDCJQqQENA4AQIECAiQimdAgFSgNRgRIA2QJ3AJARIuUYCEgMYJECBAQIBUPAMCpAKtwYgAaYA8gUsIkHCJAiQENE6AAAECAqTiGRAgFWgNRgRIA+QJXEKAhEsUICGgcQIECBAQIBXPgACpQGswIkAaIE/gEgIkXKIACQGNEyBAgIAAqXgGBEgFWoMRAdIAeQKXECDhEgVICGicAAECBARIxTMgQCrQGowIkAbIE7iEAAmXKEBCQOMECBAgIEAqngEBUoHWYESANECewCUESLhEARICGidAgAABAVLxDAiQCrQGIwKkAfIELiFAwiUKkBDQOAECBAgIkIpnQIBUoDUYESANkCdwCQESLlGAhIDGCRAgQECAVDwDAqQCrcGIAGmAPIFLCJBwiQIkBDROgAABAgKk4hkQIBVoDUYESAPkCVxCgIRLFCAhoHECBAgQECAVz4AAqUBrMCJAGiBP4BICJFyiAAkBjRMgQICAAKl4BgRIBVqDEQHSAHkClxAg4RIFSAhonAABAgQESMUzIEAq0BqMCJAGyBO4hAAJlyhAQkDjBAgQICBAKp4BAVKB1mBEgDRAnsAlBEi4RAESAhonQIAAAQFS8QwIkAq0BiMCpAHyBC4hQMIlCpAQ0DgBAgQICJCKZ0CAVKA1GBEgDZAncAkBEi5RgISAxgkQIEBgywDZd///W77/b08ldAKBf/6GM8s7XvlMRksiIECWZBFL/jIESLggARICGidAgAABARI8AwIkwBthVICMgDrBUwqQcKkCJAQ0ToAAAQJbBsiNjzxc3vizZ5T3n72DEoGVEBAgK7Gmk/4iBUi4AgESAhonQIAAAQHiGZiMgACZzCpHvREBEvIKkBDQOAECBAgIEM/AZAQEyGRWOeqNCJCQV4CEgMYJECBAQIB4BiYjIEAms8pRb0SAhLwCJAQ0ToAAAQICxDMwGQEBMplVjnojAiTkFSAhoHECBAgQECCegckICJDJrHLUGxEgIa8ACQGNEyBAgIAA8QxMRkCATGaVo96IAAl5BUgIaJwAAQIEBIhnYDICAmQyqxz1RgRIyCtAQkDjBAgQICBAPAOTERAgk1nlqDciQEJeARICGidAgAABAeIZmIyAAJnMKke9EQES8gqQENA4AQIECAgQz8BkBATIZFY56o0IkJBXgISAxgkQIEBAgHgGJiMgQCazylFvRICEvAIkBDROgAABAgLEMzAZAQEymVWOeiMCJOQVICGgcQIECBAQIJ6ByQgIkMmsctQbESAhrwAJAY0TIECAgADxDExGQIBMZpWj3ogACXkFSAhonAABAgQEiGdgMgICZDKrHPVGBEjIK0BCQOMECBAgIEA8A5MRECCTWeWoNyJAQl4BEgIaJ0CAAAEB4hmYjIAAmcwqR70RARLyCpAQ0DgBAgQICBDPwGQEBMhkVjnqjQiQkFeAhIDGCRAgQECAeAYmIyBAJrPKUW9EgIS8AiQENE6AAAECAsQzMBkBATKZVY56IwIk5BUgIaBxAgQIEBAgnoHJCAiQyaxy1BsRICGvAAkBjRMgQICAAPEMTEZAgExmlaPeiAAJeQVICGicAAECBASIZ2AyAgJkMqsc9UbWPkAe+8EPyztvuL1cu3dXueTiC3pjC5DeZAYIECBAYAGBz//d35YbH3m4vPFnzyjvP3vHAhMOIXDyBQTIyd/BKryCSQTIPCK++sA3Nszf9PpLy4euu6qcduozTrgHAbIKj6nXSIAAgfUTECDrt/Mp3LEAmcIWx7+HSQXI/F2Mx5/4cfngLXeV8845q7xn7y4BMv5z5AoECBAgMLCAABkY1OmaCAiQJswrf5FJBki3lXuOfLHc96WvbbwL8vVvP1T2Xn9refh7j5TnnPvscuDma8uLn7+jzN8BedXFF5RPfPrIbKGLvnvSHesjWCv/nwE3QIAAgaUUECBLuRYvahsBAeIRWURgkgEyfwfk0ldcVK7cedlGZMzfIbn/Kw+WffvvnEXIWT93+uw7IF2AdO+WHD27HaIA2U7InxMgQIBAjYAAqVEzc7IFBMjJ3sBqXH9SAbL5OyCf/O0bNr5U3gXHrQcOl4/ddE0584zTnxIZv/JLLz/mS+hHv3vSrfLQoUPHbHT37t3lJV/+8mps2qskQIAAgZUU8CX0lVzb2r7oWYB850elPG3aBE/e8gtb/t1w2nc+zN1NKkDm73DcduDwTGf+/Y8uQO7+7L1P+VJ6d8wLzj+vHC9Ajnf8wYMHjxHfs2ePABnmOXQWAgQIENhCQIB4NFZJYJ0CZKu/G67Svk7Wa51kgBz9k62GeAdkqwX5CNbJenRdlwABAgQIEFg2gXX4CFZnvuPZpy0b/Uq9nkkGSLeB433PY9cVl8++E3K8P5u/e9L3x/IKkJV63r1YAgQIECBAYEQBATIi7oROPdkA6XbUfZfjjt/7o9mXzbtfJ/opWJu/P/Lh66+ahcoivwTIIkqOIUCAAAECBNZBQICsw5bze5xEgOQM9WcQIPV2JgkQIECAAIFpCQiQae1zrLsRIKGsAAkBjRMgQIAAAQKTERAgk1nlqDciQEJeARICGidAgAABAgQmIyBAJrPKUW9EgIS8AiQENE6AAAECBAhMRkCATGaVo96IAAl5BUgIaJwAAQIECBCYjIAAmcwqR70RARLyCpAQ0DgBAgQIECAwGQEBMplVjnojAiTkFSAhoHECBAgQIEBgMgICZDKrHPVGBEjIK0BCQOMECBAgQIDAZAQEyGRWOeqNCJCQV4CEgMYJECBAgACByQgIkMmsctQbESAhrwAJAY0TIECAAAECkxEQIJNZ5ag3IkBCXgESAhonQIAAAQIEJiMgQCazylFvRICEvAIkBDROgAABAgQITEZAgExmlaPeiAAJeQVICGicAAECBAgQmIyAAJnMKke9EQES8gqQENA4AQIECBAgMBkBATKZVY56IwIk5BUgIaBxAgQIECBAYDICAmQyqxz1RgRIyCtAQkDjBAgQIECAwGQEBMhkVjnqjQiQkFeAhIDGCRAgQIAAgckICJDJrHLUGxEgIa8ACQGNEyBAgAABApMRECCTWeWoNyJAQl4BEgIaJ0CAAAECBCYjIEAms8pRb0SAhLwCJAQ0ToAAAQIECExGQIBMZpWj3ogACXkFSAhonAABAgQIEJiMgACZzCpHvREBEvIKkBDQOAECBAgQIDAZAQEymVWOeiMCJOQVICGgcQIECBAgQGAyAgJkMqsc9UYESMgrQEJA4wQIECBAgMBkBATIZFY56o0IkJBXgISAxgkQIECAAIHJCAiQyaxy1BsRICGvAAkBjRMgQIAAAQKTERAgk1nlqDciQEJeARICGidAgAABAgQmIyBAJrPKUW9EgIS8AiQENE6AAAECBAhMRkCATGaVo96IAAl5BUgIaJwAAQIECBCYjIAAmcwqR70RARLyCpAQ0DgBAgQIECAwGQEBMplVjnojAiTkFSAhoHECBAgQIEBgMgICZDKrHPVGBEjIK0BCQOMECBAgQIDAZAQEyGRWOeqNCJCQV4CEgMYJECBAgACByQgIkMmsctQbESAhrwAJAY0TIECAAAECkxEQIJNZ5ag3IkBCXgESAhonQIAAAQIEJiMgQCazylFvRICEvAIkBDROgAABAgQITEZAgExmlaPeiAAJeQVICGicAAECBAgQmIyAAJnMKke9EQES8gqQENA4AQIECBAgMBkBATKZVY56IwIk5BUgIaBxAgQIECBAYDICAmQyqxz1RgRIyCtAQkDjBAgQIECAwGQEBMhkVjnqjQiQkFeAhIDGCRAgQIAAgckICJDJrHLUGxEgIa8ACQGNEyBAgAABApMRECCTWeWoNyJAQl4BEgIaJ0CAAAECBCYjIEAms8pRb0SAhLwCJAQ0ToAAAQIECExGQIBMZpWj3ogACXkFSAhonAABAgQIEJiMgACZzCpHvREBEvIKkBDQOAECBAgQIDAZAQEymVWOeiMCJOQVICGgcQIECBAgQGAyAgJkMqsc9UYESMgrQEJA4wQIECBAgMBkBATIZFY56o0IkJBXgISAxgkQIECAAIHJCAiQyaxy1BsRICGvAAkBjRMgQIAAAQKTERAgk1nlqDciQEJeARICGidAgAABAgQmIyBAJrPKUW9EgIS8AiQENE6AAAECBAhMRkCATGaVo97IUgTIYz/4YXnnDbeXa/fuKpdcfEGvG77/Kw+WWw8cLh+76Zpy5hmn95od4mABMoSicxAgQIAAAQJTEBAgU9ji+PfQNEBuO3C4fOLTRzbu6k2vv7R86LqryhM/+pEAGX/XrkCAAAECBAgQGFVAgIzKO5mTNwmQx5/4cfngLXfN0LrgOO3UZ8z+9T1HvljO33FOeckLnytAJvNIuRECBAgQIEBgXQUEyLpuvt99NwmQ7T4mNf8I1pvf8JryycOfLw9/75Eyf3dkHivdOd7+7ptmd/fSC1+08ZGro8/dRc0Hbv5J7HS/PvnbN2x8rGvzn20+//z6X33gG7OZo699IlIfwer3wDmaAAECBAgQmK6AAJnuboe8syYB0n30qvv1nr27jvva5wHw8zvOmb1D0v3q3jG59BUXlSt3Xla6yNi3/85y4OZry4ufv2P2zsm3vvPd2fk2B8ijf/vDcssdnyn733f17PsgX//2Q+Wvv/lfyxsvf9Vs5vBn790Il+41veD88zbO312z+/7J/LXsuuLy2Z9t90uAbCfkzwkQIECAAIF1ERAg67Lp7D6bBcj8L/vHe7nH+xL65kA4OmC6sJiHxl9/8282voTe/evNoTK/1vwjYPOg6X6/C5e7P3vvUz4SNj/+eMF06NChY1767t27y9Ou+8/ZBkwTIECAAAECSylw286zyq//4s8u5Wtb1he1TgGy1d8Nl3U3y/S6mgVId9PbvQOy+adgHR0gm7+83p1r/jGszQHSveux+WNW82NOPeWU2Tsqn/vCfU+x3/xRq6O/IP+Ot+58yus9ePDgMXvbs2ePAFmmp9lrIUCAAAECAwoIkP6Y6xQgW/3dsL/a+k00CZBFvwNyogDZ6h2UE517/k7GO//R/zILkLdccflxf8xvd9x3v//oxrsh231kbPNj4iNY6/cfGndMgAABAtMWuOZzj5bDX/37IkD673mdAqS/jom5QJMAqfkpWEd/R+Poj1Z96p4/KTtff2k5+iNY3Y3N/1kim0Pi6O+AdK/pDz/35+XX3vTL5WO/93/PPLp3aOav9bxzztryHRsB4j9ABAgQIEBgugICpH63AqTebp0mmwTIHLTPPwdkc4B085t/Clb37+cfkTr6S+h7r7919lO0ul9H/zSro39C1oevv2r2RfPuOyXzueec++xy9pnPKq96+YUCZJ3+k+BeCRAgQIDATwUESP2jIEDq7dZpsmmATBHWR7CmuFX3RIAAAQLrLCBA6rcvQOrt1mlSgITbFiAhoHECBAgQILBkAgKkfiECpN5unSYFSLhtARICGidAgAABAksmIEDqFyJA6u3WaVKAhNsWICGgcQIECBAgsGQCAqR+IQKk3m6dJgVIuG0BEgIaJ0CAAAECSyYgQOoXIkDq7dZpUoCE2xYgIaBxAgQIECCwZAICpH4hAqTebp0mBUi4bQESAhonQIAAAQJLJiBA6hciQOrt1mlSgITbFiAhoHECBAgQILBkAgKkfiECpN5unSYFSLhtARICGidAgAABAksmIEDqFyJA6u3WaVKAhNsWICGgcQIECBAgsGQCAqR+IQKk3m6dJgVIuG0BEgIaJ0CAAAECSyYgQOoXIkDq7dZpUoCE2xYgIaBxAgQIECCwZAICpH4hAqTebp0mBUi4bQESAhonQIAAAQJLJiBA6hciQOrt1mlSgITbFiAhoHECBAgQILBkAgKkfiECpN5unSYFSLhtARICGidAgAABAksmIEDqFyJA6u3WaVKAhNsWICGgcQIECBAgsGQCAqR+IQKk3m6dJgVIuG0BEgIaJ0CAAAECSyYgQOoXIkDq7dZpUoCE2xYgIaBxAgQIECCwZAICpH4hAqTebp0mBUi4bQESAhonQIAAAQJLJiBA6hciQOrt1mlSgITbFiAhoHECBAgQILBkAgKkfiECpN5unSYFSLhtARICGidAgAABAksmIEDqFyJA6u3WaVKAhNsWICGgcQIECBAgsGQCAqR+IQKk3m6dJgVIuG0BEgIaJ0CAAAECSyYgQOoXIkDq7dZpUoCE2xYgIaBxAgQIECCwZAICpH4hAqTebp0mBUi4bQESAhonQIAAAQJLJiBA6hciQOrt1mlSgITbFiAhoHECBAgQILBkAgKkfiECpN5unSYFSLhtARICGidAgAABAksmMAuQ//D3pTxtyV7YCr2ce952Tnn1+aes0Cvu91J3PPu0fgOOfoqAAAkfCAESAhonQIAAAQJLJiBA8oUIkNxwymcQIOF2BUgIaJwAAQIECCyZgI9gLdlClvDleAckW4oAyfyKAAkBjRMgQIAAgSUTECBLtpAlfDkCJFuKAMn8BEjoZ5wAAQIECCybgABZto0s3+sRINlOBEjmJ0BCP+MECBAgQGDZBATIsm1k+V6PAMl2IkAyPwES+hknQIAAAQLLJiBAlm0jy/d6BEi2EwGS+QmQ0M84AQIECBBYNgEBsmwbWb7XI0CynQiQzE+AhH7GCRAgQIDAsgkIkGXbyPK9HgGS7USAZH4CJPQzToAAAQIElk1AgCzbRpbv9QiQbCcCJPMTIKGfcQIECBAgsGwCAmTZNrJ8r0eAZDsRIJmfAAn9jBMgQIAAgWUTECDLtpHlez0CJNuJAMn8BEjoZ5wAAQIECCybgABZto0s3+sRINlOBEjmJ0BCP+MECBAgQGDZBATIsm1k+V6PAMl2IkAyPwES+hknQIAAAQLLJiBAlm0jy/d6BEi2EwGS+QmQ0M84AQIECBBYNgEBsmwbWb7XI0CynQiQzE+AhH7GCRAgQIDAsgkIkGXbyPK9HgGS7USAZH4CJPQzToAAAQIElk1AgCzbRpbv9QiQbCcCJPMTIKGfcQIECBAgsGwCAmTZNrJ8r0eAZDsRIJmfAAn9jBMgQIAAgWUTECDLtpHlez0CJNuJAMn8BEjoZ5wAAQIECCybgABZto0s3+sRINlOBEjmJ0BCP+MECBAgQGDZBATIsm1k+V6PAMl2IkAyPwES+hknQIAAAQLLJiBAlm0jy/d6BEi2EwGS+QmQ0M84AQIECBBYNgEBsmwbWb7XI0CynQiQzE+AhH7GCRAgQIDAsgkIkGXbyPK9HgGS7USAZH4CJPQzToAAAQIElk1AgCzbRpbv9QiQbCdrEyBf//ZD5f377ywf2Xd12XHu2eWDt9xVLn3FReXKnZdFgg898ng0b5gAAQIECBBYLgEBslz7WMZXI0CyrUwuQO458sVy35e+Vj503VXltFOfsaEjQLIHxTQBAgQIEFgXAQGyLpuuv08BUm/XTa5NgGxmevyJH3sHJHtuTBMgQIAAgckKCJDJrnawGxMgGeXaBMhW74D8yi+9vLzzhtvLtXt3lUsuvmCmufnYFz9/xwmFfQQrewBNEyBAgACBZRMQIMu2keV7PQIk28naB0j3HZDuY1vf+s53y3v27ppp3nbg8Oz/zv/9iYgFSPYAmiZAgAABAssmIECWbSPL93oESLYTAbLzsvLYD35Y9t14Z7nuXb9Rzvq50zf+9eZ3Pw4dOnSM9O7du8vTrvvP2QZMEyBAgAABAkspcNvOs8qv/+LPLuVr86JOrkAXIFv93fDkvrLVuLoA+elPwere9XjB+eeV83ecU+7+7L3HfIn94MGDx2x0z549AmQ1nnOvkgABAgQI9BYQIL3J1magC5Ct/m64NgjBjQqQnwbI/HsfneW1v/nrG98H2c7WR7C2E/LnBAgQIECAAIFpCfgIVrZPAfLTAJn/ZKz/8tD3y8duuqacecbpC8kKkIWYHESAAAECBAgQmIyAAMlWOckA+cDNdz1F5aUXvqhc/1tvLTf/H//nCf9BhPOPYfX5hxMKkOwBNE2AAAECBAgQWDUBAZJtbHIBUsvRfRF9/+98quz7J29b+N2P7loCpFbcHAECBAgQIEBgNQUESLY3AfJTv6N/FO+irAJkUSnHESBAgAABAgSmISBAsj0KkMzPOyChn3ECBAgQIECAwKoJCJBsYwIk8xMgoZ9xAgQIECBAgMCqCQiQbGMCJPMTIKGfcQIECBAgQIDAqgkIkGxjAiTzEyChn3ECBAgQIECAwKoJCJBsYwIk8xMgoZ9xAgQIECBAgMCqCQiQbGMCJPMTIKGfcQIECBAgQIDAqgkIkGxjAiTzEyChn3ECBAgQIECAwKoJCJBsYwIk8xMgoZ9xAgQIECBAgMCqCQiQbGMCJPMTIKGfcQIECBAgQIDAqgkIkGxjAiTzEyChn3ECBAgQIECAwKoJCJBsYwIk8xMgoZ9xAgQIECBAgMCqCQiQbGMCJPMTIKGfcQIECBAgQIDAqgkIkGxjAiTzEyChn3ECBAgQIECAwKoJCJBsYwIk8xMgoZ9xAgQIECBAgMCqCQiQbGMCJPMTIKGfcQIECBAgQIDAqgkIkGxjAiTzEyChn3ECBAgQIECAwKoJCJBsYwIk8xMgoZ9xAgQIECBAgMCqCQiQbGMCJPMTIKGfcQIECBAgQIDAqgkIkGxjAiTzEyChn3ECBAgQIECAwKoJCJBsYwIk8xMgoZ9xAgQIECBAgMCqCQiQbGMCJPMTIKGfcQIECBAgQIDAqgkIkGxjAiTzEyChn3ECBAgQIECAwKoJCJBsYwIk8xMgoZ9xAgQIECBAgMCqCQiQbGMCJPMTIKGfcQIECBAgQIDAqgkIkGxjAiTzEyChn3ECBAgQIECAwKoJCJBsYwIk8zNNgAABAgQIECBAgEAPAQHSA+voQw8dOlSefPLJsmfPnuAsRgksJvDe97637N69u7zsZS9bbMBRBAKBN77xjeXIkSPl6U9/enAWowS2F3jggQfKHXfcUT760Y9uf7AjCIQCd999d3n00UfL3r17wzMZTwQESKAnQAI8o70FBEhvMgOBgAAJ8Iz2EhAgvbgcHAoIkBBwoHEBEkAKkADPaG8BAdKbzEAgIEACPKO9BARILy4HhwICJAQcaFyABJACJMAz2ltAgPQmMxAICJAAz2gvAQHSi8vBoYAACQEHGhcgAaQACfCM9hYQIL3JDAQCAiTAM9pLQID04nJwKCBAQsCBxgXIQJBOQ4AAAQIECBAgQIDA9gICZHsjRxAgQIAAAQIECBAgMJCAABkI0mkIECBAgAABAgQIENheQIBsb+QIAgQIECBAgAABAgQGEhAgA0E6DQECBAgQIECAAAEC2wsIkO2NjnvEPUe+WD5w812zP3vT6y8tH7ruqnLaqc+oPJsxAqU8/sSPywdvuat87gv3zTg+fP1V5cqdl21Js/kZnB/0jrfuLO/ZuwsngVjgtgOHywvOP++Ez2B8ESdYK4HHfvDDsu/GO8t17/qN8uLn79jy3rvj3nnD7eWrD3xj45jnnPvscuDma084t1aYbra3wP1febC8/d03bcz5u1tvwkEHBEgFZ/cQ33rgcPnYTdeUM884vXT/Q9398he/CkwjGwKbn6P5/wBfu3dXueTiC7aM4Pu+9DXx6xkaVGBz2G4XwYNe2MkmK7D5/7mySEgs8t9/k8VyY6MJdP/ddv6Oc2b/mzp/Js875yx/dxtN/MQnFiAV8Ef/fwaPDpKKUxpZc4Hj/X8Gtwvb7r9MBciaPzgj3r53QEbEXdNT930H5ET/D5g1JXTbAwr439ABMStOJUB6os2r+dJXXLTx0YSvf/uh8v79d5aP7Lva28M9PR3+E4HjPUPb/Zfj0R/B8vErT9OQAgJkSE3n6gT6Bsj8I1iLvGtCmEBfge3+n3x9z+f4fgICpJ/Xxtt2b7ni8o2PxgiQnogOP0age4ZuueMzZf/7rp59rK/7tV2AbD7J/CMLu6643Gf2PV+DCAiQQRidZJPAogFyNFr334WHP3vvxseeoRJIBXxyJRXM5wVIT0PvgPQEc/hCAjXvgBzvf6S/9Z3v+jzrQuIO2k5AgGwn5M/7CtQGSO1c39fn+PUQ6OJj3/47/VCDk7xuAVKxAN8BqUAzckKBmu+ACBAP1ZgCAmRM3fU8d21I1M6tp7K7PpGA+Fie50OAVOzCT8GqQDOyrcCJfgrW0R+x6t6J+8PP/Xn5tTf98uzHP/upMdvyOqCngADpCebwbQW2ComjP2LV/W9s92v+EwD7fBx12xfhgLUV8LGr5Vq9AKnch38OSCWcsS0FTvTPATnedzy6vyB+4tNHNs7nR6Z6uIYQOPqHG/gC8BCq632Oo/+7rdPY/M9gODpAuo+k7r3+1vLw9x6Zwb30whf5/sd6P0KD3P3R/5vZndR/vw1CW3USAVLFZogAAQIECBAgQIAAgRoBAVKjZoYAAQIECBAgQIAAgSoBAVLFZogAAQIECBAgQIAAgRoBAVKjZoYAAQIECBAgQIAAgSoBAVLFZogAAQIECBAgQIAAgRoBAVKjZoYAAQIECBAgQIAAgSoBAVLFZogAAQIECBAgQIAAgRoBAVKjZoYAAQIECBAgQIAAgSoBAVLFZogAAQIECBAgQIAAgRoBAVKjZoYAAQIECBAgQIAAgSoBAVLFZogAAQIECBAgQIAAgRoBAVKjZoYAAQIECBAgQIAAgSoBAVLFZogAAQIECBAgQIAAgRoBAVKjZoYAAQIECBAgQIAAgSoBAVLFZogAAQIECBAgQIAAgRoBAVKjZoYAAQIECBAgQIAAgSoBAVLFZogAAQIECBAgQIAAgRoBAVKjZoYAAQIECBAgQIAAgSoBAVLFZogAAQIECBAgQIAAgRoBAVKjZoYAAQIECBDI935oAAAC3UlEQVQgQIAAgSoBAVLFZogAAQIECBAgQIAAgRoBAVKjZoYAAQIECBAgQIAAgSoBAVLFZogAAQIECBAgQIAAgRoBAVKjZoYAAQIECBAgQIAAgSoBAVLFZogAAQIECBAgQIAAgRoBAVKjZoYAAQIECBAgQIAAgSoBAVLFZogAAQIECBAgQIAAgRoBAVKjZoYAAQIECBAgQIAAgSoBAVLFZogAAQIECBAgQIAAgRoBAVKjZoYAAQIECBAgQIAAgSoBAVLFZogAAQIECBAgQIAAgRoBAVKjZoYAAQIECBAgQIAAgSoBAVLFZogAAQIECBAgQIAAgRoBAVKjZoYAAQIECBAgQIAAgSoBAVLFZogAAQIECBAgQIAAgRoBAVKjZoYAAQIECBAgQIAAgSoBAVLFZogAAQIECBAgQIAAgRoBAVKjZoYAAQIECBAgQIAAgSoBAVLFZogAAQIECBAgQIAAgRoBAVKjZoYAAQIECBAgQIAAgSoBAVLFZogAAQIECBAgQIAAgRoBAVKjZoYAAQIECBAgQIAAgSoBAVLFZogAAQIECBAgQIAAgRoBAVKjZoYAAQIECBAgQIAAgSoBAVLFZogAAQIECBAgQIAAgRoBAVKjZoYAAQIECBAgQIAAgSoBAVLFZogAAQIECBAgQIAAgRoBAVKjZoYAAQIECBAgQIAAgSoBAVLFZogAAQIECBAgQIAAgRoBAVKjZoYAAQIECBAgQIAAgSoBAVLFZogAAQIECBAgQIAAgRoBAVKjZoYAAQIECBAgQIAAgSoBAVLFZogAAQIECBAgQIAAgRoBAVKjZoYAAQIECBAgQIAAgSoBAVLFZogAAQIECBAgQIAAgRoBAVKjZoYAAQIECBAgQIAAgSoBAVLFZogAAQIECBAgQIAAgRoBAVKjZoYAAQIECBAgQIAAgSoBAVLFZogAAQIECBAgQIAAgRoBAVKjZoYAAQIECBAgQIAAgSqB/x8s4B3aZjRm2QAAAABJRU5ErkJggg=="
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import plotly.figure_factory as ff\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "X = np.random.rand(10, 12)\n",
    "names = ['Jack', 'Oxana', 'John', 'Chelsea', 'Mark', 'Alice', 'Charlie', 'Rob', 'Lisa', 'Lily']\n",
    "fig = ff.create_dendrogram(X, orientation='left', labels=names)\n",
    "fig.update_layout(width=800, height=800)\n",
    "fig.show(renderer=\"png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "lyric-tours",
   "metadata": {},
   "source": [
    "### Plot a Dendrogram with a Heatmap"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "velvet-curtis",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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A1M1UMVAI1BWBXgF59qgNpb2pTsoMNUh4u/PfkAWrytKQAvKRZCoRhfuTqby4Li8ExJUg7WMngIDEjrxuOkRA6maqGCgE6ooAAmIzXQiIDcf+WRAQe6ZkhMCQBBAQFsa6CCAgrA0IQCAKAgiIDdWGFpBdknkaVeFvyTx9y3VFUAFxJUj72AkgILEjr5sOEZC6mSoGCoG6IoCA2ExXYwtIMu/jKPwtmfePuK4IBMSVIO1jJ4CAxI68bjpEQOpmqhgoBOqKAAJiM10NLSAfTUhA/oqA2KxOskBAIYCAsETWRQABYW1AAAJREEBAbKg2toD82AZSwCyFv34/YIvaCKcCUhvzwCgCEEBAAsAaYaEIyAibcA4XAjERQEBsQDe2gJxuAylglsJfTwrYojbCEZDamAdGEYAAAhIA1ggLRUBG2IRzuBCIiQACYgO6oQXkYwkJyH0IiM3qJAsEFAIICEtkXQQQENYGBCAQBQEExIZqYwvIGTaQAmYp3Pe9gC1qI5wKSG3MA6MIQCAJAZm98OUAIyQ0KQKfvz4ji1al5Lr9SzKhrZLUMOjXJ4GNR0+WUfkWn9GEQSA5AgiIDfuGFpBdz7SBFDBL4S8nBmxRG+EISG3MA6MIQCBuAVnVVZCv/TGZp1sEwEKoiDwz9+NSLLfItMl/kly2AJMaJ3DCh78q207assZHyfAgIIKA2KwCBMSGY/8sCIg9UzJCYEgCSQrI1hM2Y1YgAAFHAq+tmC+e2CMgjiBpHhsBBMQGdUMLyP+cZQMpYJbCn08I2KI2wqmA1MY8MIoABJISkLZ8i1y6Z30+bzsAXkIhEDmBs/5+hcx883kEJHLSdGBFAAGxIdnYAvITG0gBsxT+/N2ALWojHAGpjXlgFAEIICABYBEKgRokgIDU4KQwpGEJICA2C6ShBeT/JSQg9yIgNquTLBBQCCAgLBEI1DcBBKS+528kjh4BWXvWX+/ukoWlUuCl8JVLFsuS1RW5+tDxMrY1Fah9WzotW+aaArUZKnjK+GgefNHy/37qPLYwCQr3Hh+mWeJtqIAkPgUMICgBBCQoMeIhUFsEEJDamg9GoxPoFZDnjt5QRuWDXTjr2esv4pwl8+W2jqWBBz7/wSYpd6Zk8s5dks6XA7V/Z75FLtxg00Bt4hWQnzmPLUyCwr3HhWmWeBsEJPEpYABBCSAgQYkRD4HaIoCA1NZ8MBqdABWQtRn1CsjbsnmZkMnqAB0iVpdL8kKxU2peQD6ekID8CQFxWF40hYB/AgiIf1ZEQqAWCSAgtTgrjGk4AgjI0AJy1LjJslf72EgXz1NdBTls3it1ICA/j5TDupIX/nRsIv26dkoFxJUg7WMngIDEjpwOIWBKAAExxUmyGAggIAiItsxaPpGQgNyDgGhzw88hYEIAATHBSBIIJEYAAUkMPR2HJICAICDa0mn5xNlaSCQ/L9xzTCR5o05KBSRqwuQ3J4CAmCMlIQRiJYCAxIqbzgwIICAIiLaMWj75Cy0kkp8X7j46krxRJ0VAoiZMfnMCCIg5UhJCIFYCCEisuOnMgAACgoBoywgB0Qit/XMEJBgvomuAAAJSA5PAECDgQAABcYBH00QIICAIiLbwWj55jhYSyc8Ldx+1Vt5b73xAfvDTy/r+3WnHHySf3X3nvn9+eOaz8tUjz6r+87umTZWLzjpKxo5u7/t5//Z77LqjnHrcQdLSnDcfOwJijpSEURNAQKImTH4IREsAAYmWL9ntCSAgCIi2qlp2O1cLieTnhbuO7MtbWNMlF135Ozlw/92qUrF0eYd884Rz5JhD95Udtt1aXpwzV046c4acfuLBsvkmU8STjX89OrtPMjw5OfuSG/uk5BeX3FjNffSh+5qPHQExR0rCqAkgIFETJj8EoiWAgETLl+z2BBAQBERbVbUgIAPH6AnJyT+7THbcfnq1CuIJxyuvze8TioFC4gnHphtN7quYDBQSjUGQnyMgQWgRWxMEEJCamIa6HMSLS16Xq5+8qy7H3kiDfm35fFlVLMiGoyfLqFxLIx1a3R3LhNbR8u0d7P+6WXcglAEjIAiItqZbdj9PC4nk54U7j1hnXk8wDj3+bDnzxIOrFZCBFY3+FZJ3bj11LVnxkg4UFMsDQEAsaZIrFgIISCyYG7KTWW8+L2f+/YqGPLZ6OqiKiKTqacANPNYNRo2Xcz5Rn4/xjHNaEBAERFtvLbv/UguJ5OeFO78zKG+vWDz5zEvS/x6QgRWOoQRknz13qcoKAhLJdJG0ngkgIPU8e8mOvVdApo59m3zpXbsnOxh6h0CCBJYUlssFD98oCIi/SUBAEBBtpbTskZCA3DFYQHrHOnALFhUQbRb5OQSGIYCAsDzCEpi14AU588HL5d3rv12+t9OBYdPQDgKREnhx6ety0n0XRtpHb/JKpSKpVLT1qPZ8q8zY8/uxHE9UnSAgCIi2tlr2OF8LieTnhTsOHzZv//s+uAckkikg6UghgICMlJm2P04ExJ4pGe0JxCkg9qMfnBEBiYNyvH2cs2S+3NaxVI4aN1n2ah8baedPdRXksHmvyDvzLXLhBps69zVlfDT3nbV86gLnsYVJULj9233NvC1Vl19/l3zzgM9UH53bu8Vq3z13qd5YzlOwwhCmDQTeIoCAsBTCEkBAwpKjXZwEegVk87EbyukfOyzOrk376uhaLQf/8ceCgJhirYlkCMjgaagFAfFG5W2zuvS6O/sGyHtAauKUYRCNQAABaYRZTOYYEJBkuNNrMAIISDBecUSzBWttygjIUALyqziW4qA+Crd/K5F+XTvlKViuBGkfOwEEJHbkDdMhAtIwU9nQB4KA1N70IiAIiLYqW/aM576tgeMo/LE+q6QIiLai+HnNEUBAam5KnAe0dM0K+fNLDznn0RK8uWqJ/P3VmTKpbZx8eONttXDnn28yerK8723vdM5DgpFFoB4EZPbCl+VHD8zwNTEVqUjKx4OXr//cGb7yrStovasulNyLzznlWFfjSc2Hy/JUkywo/FLWky7zPkoTJ8myb3/PPG9UCamADCaLgARbbQhIMF5E1wABBKQGJsF4CC8ufUNOui/68rX3/gnvE+0zf/4L54MbbiPfef9+xrRI1+gEGk1A/M6Xq4CM//Gx0jTrEb/dBYr7+6gtpTuVlV06Zgdq5ze4e8NNZME5V/oNTzwOARlCQP73okTmpfCHbybSr2unCIgrQdrHTgABiR155B32CsiY5nbZdbMdIu8v6g5eXf6mPDz3aUFAoiZd+/lvfua+wINcsmaF3PfSQzKueT352NT3BW4/fcJmMn3iZoHbBWnQWwHZesJmcspHDg7SdFDs/rf0/OXfSkBWfOWbUpy6ldOY4mqcWbRAxlxwhiAg6yZeN0/B+t+L41o2a/VT+MM3EunXtVMExJUg7WMngIDEjjzyDl9a9oZ87y+/kqlj3iZn7FqfN9T1h/SP12bJ+Q/dIB/a6N1y+Pv2j5wfHdQugd6L66AjdHlb/OemfUz2mf4/QbsMFF+TAnLaMdL0xKOy+AdnS+e7tw90PEGDMwvnSXbhm0GbDYrPLHpTxpx/ppQmTJJlh5/onM9L0Dk9+u2lVEAGT1XLpxMSkN8jICYnDkkgoBHQBGTB6qWyePUyLY3vn6/p7pSf/OMqac42yXc/9BXf7fwEjm8dI+u3RvsMdT/jSDoGAUl6Bug/KgK9AuJJQdSfpxe+LM8uellGrIC8tQUrDgFpv+Fyab/ZYMtU1TQrItX/ttkcOvemv0W91AQBGUpALomc+1AdFH5/aCL9unZKBcSVIO1jJ6AJyE2z/yy3hNj2MNyBVO8dqJj9fujryhOQiW8JyJzl88xYbjBqgjRl8uvM50lVuVL21d92k7eUbSZvOWysq0hZCsjpD14qxbK/Y/MFIETQis5VMrdjgazX1CZT2tcPkcG2yQHb7CGbjZlim5RsvghYbS/y01nvd9+IFZAYKyC9AuLdPN49cbKf6Yk8pmn2rGofCMjwqCN7EeFnfh35HA8pIL87JJF+XTtFQFwJ0j52An4FZELrGJngUF1Y0blS3uhYGPnx2fzNa8AwvaS9d1w7HIHfbSCuFzy994B4F8ln7vrft7qGGXrYLS9h+qqXNj/Y+evyjolT62W4DTVOKwG5f85jslCp7D698EV5ZuHLMm3iZvKOiZsPy9H1PpGRvgWrV0A69j5AOvY7sCbW7JR9dkFAfMwEAuIDUgwhCEgMkOnCloBfAXG9KO7dx//OiVPls9N2dToIv4+r9NvJV979qWFDNxg1Xpqy666AXDHrdnl1+TxZv3WcNOea1pkrm85KPpNd588XrV4qi1Yvc97yYVkB6b3gO2mnr0kmlfaL1CSuu9Itf3+156+QtfB5Yv7zsqxzpey0yXaBt/ppF7thj2/D9SbK28dtHLb5kO2mTYj2hmuXwVoJyCn3z6hur9I+cf3RAAHp2YKFgEyWvdqj3UZcNzehf8bfY6m1czjozwu/c3sIRND+rOIRECuS5ImNQNwCYnEjsdVFiFWe3ouZH+58sNPTcqy2fEQhIK5P1AmzoFcX18hBf/hRmKaRtIn7scPaQfh9H4SWZ+DP937rhutiqVuWd3aozcc0jVK3FfYmcZUb63N2502269u2qR7oEAFW94kgIPEKSPtN+v0m7TdeXp3xjn31iszqXT4upYkbhFlC1TbcAzIYXctevwnN06Vh4bavuzRPrC0Ckhh6Og5LAAFxf1wlAhJ29Q3frr+AxHHTcdijmO3jL+neBab3ac01q900Z3OSTmXUuJZsk4zKtw6KW/hWJU1NsI6AoNsY/VYJvO5cRdZaQGrljwaNLCB+nnDVct9d0nr/PbL6I5+Qwsd2G3bplltHSXHTLcIu72q73u1VwyYJ8BeHxaecK53vCP+0LAQEAXFa0NVnL1QqBjvFXYdBewj4J4CAuF8UISD6evO75aV/piAXtkONwHXboH5UPRF+7pMJcC0jVhfF3jsl3uHw/gpv25h3r0QunZHRze3rxJFP52R086hhcfVud0JAhsbUyALi/wlX/s74zunbyOJTz/N7eg4Z1ysg3pYvl0/r/XdLZuGbUisCMq9UlLtXLh/2kBaUuuWOjqUyMZOVT/nY7nXg6AnD5ovsHpDPXuoyNaHbFm79Wui2STZEQJKkT9+hCCAgCMhwC8f6L86hFmnIRn4uZyxf/OZapfEu9r17gKwExFXAavGi2Ho9wnrdJ9d4o6dgWT3hKr1qpeTmvCiWAuL6hKvxJx8h3tOyakVAHu8syBHzXxn+GzOVEu9v5SnvMcU+/mb+wCbTEJCQv4PibIaAxEmbvkwIICAISJwCYnXBZ7L4RcRSQFz/ul9rlTQERF9lVvdt1SJrawFxvcG86emZMv6UIxGQYZZlr4BMyuZkt7bR+gIeJuKK5YuqP01MQD6XUAXkFiogTguHxhDwSwABQUDqUUAa8a/7CIj+rUUFJD5GCIjOulYrINs0tcr5kzfRD2CYiJ3nPJOogLR+7jKn8YdtvPqWg8I2TbQdFZBE8dN5GAIICAKCgLg9dpGLYv2bx4qRVR5kT58zBMQHoxrdgoWA6HO3rggEJDw7WkIgEAEEBAFBQBCQodZALW4LQkD0r3crRgiIzpoKiEhUN6G37p1QBeRmKiD6yicCAgYEEBAEBAFBQBCQcF+m3AOic7N6yzn3gOise+8BaYQKSNvePe9hifuz6mb9vS9xj8lPf2zB8kOJmJoigIAgIAgIAoKAhPtaRkB0bgiIzsjqPSANJSD7JCQgNyEg+optwIi5iwsNeFS1fUhpESkPM0SrX7D/eG2WnP/QDcKb0NcN24p1Lb4JnT33+vcAjHRGVtuLYK2zZguWD0bcAxLZFqw2BERfgP0iqIAEwjU4GAFxBBiiOQJCBYQKCBUQKiAhvjxFxOqPBrV4vw0Coq8J7gGJ7h6QUfteoU9ABBErb/xqBFmjT4mAODJGQBwBhmiOgCAgCAgCgoCE+PJEQHxBYwuWjoktWPFzi2UAACAASURBVIMZISD6uukfgYAE4zUoGgFxBBiiOQKCgCAgCAgCEuLLEwHxBQ0B0TEhIAiIvkqGj0BAHAkiII4AQzRHQBAQBAQBQUBCfHkiIL6gISA6JgRkMKP2/a7UwUUQ0XHDARFkjT4lAuLIGAFxBBiiOQKCgCAgCAgCEuLLEwHxBQ0B0TEhIAiIvkqogLgyGrY9AhIp3iGTIyAICAKCgCAg4b57uQld54aA6IwQkCEEZP+EKiDXUwHRV2wDRiAg8U8qAoKAICAICAIS7rsXAdG5ISA6IwRkMKP19r9KBxdBxIrrvxJB1uhTsgXLkTEC4ggwRHMEBAFBQBAQBCTElydbsHxBQ0B0TAjIEALy+YQE5DoERF+xDRiBgMQ/qQgIAoKAICAISLjvXiogOjcERGeEgCAg+ioZPoIKiCNBBMQRYIjmmoDcP+cx+esrj8pHN91ePrLJe0L00NPkqQUvys3P3CfvnrSFfHbrj4bO4zX03mJc/e+PuF04WuW5Yubt8sryefLVbT8lm47eIPSxWbGe27FIfv3YbTKlfYIc8p69Qo/Ha3j6g5dKsVx2Zl1rjLz58sbkzZc3by6fRl1HtcgI1vpKtWK03lUXSu7F52TFAYdJcepWesfriGj9293S8te7pPDR3WT1Lp8MnSf3yn9kvcvPl+ImW8iKgw4Pncdr6L1A0PssPvU8pzzrXXa+5Ob8R1YceLgUN90idK6bO5bI/as6ZN/R42WnllGh87xQ7JRfLp4vW+Sb5Yhxk0Ln8RoePn9Otf35kzcZNs+U8S1O/ayr8ejPXx1JXi3p8uu+rIXU5M8REMdpQUAcAYZorglIiJQ0gQAEIAABCEBgBBCITEC+kJCAXIuAjIBlO/gQEZD4px0BiZ85PUIAAhCAAAQagQACUhuzSAXEcR4QEEeAIZojICGg0QQCEIAABCAAAYlKQMZ88ZpE6C777ZcS6de1UwTEkSAC4ggwRHMEJAQ0mkAAAhCAAAQggIDUyBpAQBwnAgFxBBiieSaVklK5HKIlTSAAAQhAAAIQGMkEpkxojeTwx3wpoQrINVRAIpnQWk+KgMQ/Q7lMSoqlSvwd0yMEIAABCEAAAnVNIKotWGO/9NtEuCy95ouJ9OvaKRUQR4IIiCPAEM3fWLJKHnh2YYiWazcpl8tSqbiLTDqdlpSknMfTk8B9PEYD6RmN0XCKnZ1SKZVshtbdJWJRActkRVLehj7HT9k7LgNQKW8NGa2jSo1VCA3w9CxIK9YZkbTB3HtjSmeNcqVEqmvA8eOtR4v5tzr5vcPJ5iRlwHv02DZpaso5AhIplSsm320902UwZ94ySoukDebfOzaLT2tTVnJZ93Nk6rhWGdPiPmejmjIm4/HYjG/PWyAalAMBCYYVAQnGa1A0AuIIMETzPz81T068flaIlms3KXYVxZMQ1082mxVPQiw+FYsL2eqFmsVovOt8dz7eSFYvXSbdnZ02gyp0iJSK7rnyLSIZ91+MUuy0ueDz1pCFEHlkqlJUQx+jdVSdd4uL62xexBNQi0++1WYdWc1/cY3N/FtwfotvqrlNUln3c23zrTaQMePCv3Oid7q7ukpSNrhQT6dTkjKQBm9c2WxaMhl3mSkWSyZyNWlsq7QZiMOnp0+SLSa0OZ9pG45tlnaD8XgDaTY69Qce1NgvJ1QBuZoKiPMCq8cECEj8s4aA+GCOgOiQEBCdkVUEAqKTREBURgiIikgQEJ1RVAIy7svX6p1HELHk6i9EkDX6lFRAHBkjII4AQzRHQHxAQ0B0SAiIzsgqAgHRSSIgKiMEREWEgOiIIquAjPtKQgJyFQLiY9obLwQBiX9OERAfzBEQHRICojOyikBAdJIIiMoIAVERISA6IgTEB6M4QqiAOFJGQBwBhmiOgPiAhoDokBAQnZFVBAKik0RAVEYIiIoIAdERRSYg4w+4zkfv9iGLr/y8fdIYMiIgjpAREEeAIZojID6gISA6JAREZ2QVgYDoJBEQlRECoiJCQHRECIgPRnGEICCOlBEQR4AhmiMgPqAhIDokBERnZBWBgOgkERCVEQKiIkJAdEQIiA9GcYQgII6UERAd4Hfmz9GDAkR8YkleTrmWx/AOiwwB0VcUAqIzsopAQHSSCIjKCAFRESEgOqLIBGTCV6/30bt9yKIr9rdPGkNGBMQRMgKiA9x5zjN6UICIY1eNkdMQkOGJISD6ikJAdEZWEQiIThIBURkhICoiBERHhID4YBRHCALiSBkB0QH2Csh5kzfVg31ELHhhmXyfFxEiID7WyrAhCIgrQf/tERCdFQKiMkJAVEQIiI4oOgE5MKEKyOVUQHxMe+OFICD6nPYKyAObTNODfURwD4gPSFRAdEgIiM7IKgIB0UkiICojBERFhIDoiCITkIkH3uCjd/uQhZfvZ580hoxUQBwhIyA6QAREZ9QbUREjczBKUza6cFy9dJl0d3b6BzFcZKFDpFR0z4WAuDP0m8FoHVXnvVL22+u647J5kUzWPY+XId8qksm550JAVIYIiIoIAdERISA+GMURgoA4UkZAdIAIiM4IAfHPSBAQHVa5pMfEGYGA6LQREJURAqIiQkB0RNEJyEEJVUAuowLiY9obLwQB0ecUAdEZISD+GSEgPlghIMNDogKiLyKLStNbvaSa2ySVda8SISD6tBWLJakYVMAnjW2Vthb3Ofv09EmyxYQ2feBKxIZjm6XdYDxeN81Gxc+BQ17/oBudjzNMggWX7RumWeJtqIA4TgECogNEQHRGCIh/RgiID1YICALiY5kMG4KAqATT6ZSkUik1zk9ANpuWTMY9FwKi045MQL6WkIBcioDos96AEQiIPqkIiM4IAfHPCAHxwQoBQUB8LBMExA0SAqLzG1EVEAREXxD9IqiABMI1OLgeBOTYN1+VTouabEhWMztXi/d3HZ6CpQPkJnSdEQLigxECgoD4WCYIiBskBETnN5IEZNLXb9KBRBDx5m/2iSBr9CkREEfG9SAgH3/1OVljWE4Pi8xMQJ6cJydcPzPsMPraFbuKYvGUp2w2K2nvBlKDT60JSKXsjch9Q3Fh2TLpXmP0FKw1q0RKXe60q08vMtgM3N0lYnHBn86IGG3nkOpN3+7z5g75rQxlbywG4zF7ClaTSCZjc3hW68hq/oudNuux+kcrgzkTEat7QKZuOVlGjx3lPG9dXSUpldyfpuZ971udsvl8Rjyhcf10d5elXD3f3D5TJrSZ3APy+W2nyNbru89ZUy4jGQM+HpXJ67nf2zIUXQQk2JpDQILxGhRdTwLys0kbSz5lc6EcBNt33pwjqUrFrAJy75Nz5YTrbATEu8B2/WSyGUlnjLi6D6d6OBWjipcFH288VQGxegxvpycg3a7TJpJvtnl8qnfBZyH43rlpdX5WjJ6CZbQeTfh4M14VEINBeTehexf8Fh+rdWT2FCyj9Wj15LKqgLSa3IS+6RaegLjf0NzZ2S2lkvs6sqyA5PPePSDuv0es7gHZaP12Wa8t73yGHPrBjWXbt412zvPakoKsXGPwvS8i223c7jweBMQdIQLiyLAeBOQTrz4nhUpZ7tl4K2mxusAJwM36HhAERIePgOiMEBAfjNyv0Xo6sRA0BMTHhImIlRAjICpvBERFJCNJQCYffLMOJIKI+TP2jiBr9CkREEfGCIgOEAHRGfVFGF3wISA+mFv95drqgo8KiD5pVEB0RlbrEQFRWSMgKiIEREfkHIGAOCOszwQIiD5vCIjOCAEJwIgtWDostmANz4gtWPoaQkBURgiIimhkCcghCVVAfk0FRF+JDRiBgOiTioDojBCQAIwQEB0WAoKA6Ktk+AgERCWIgKiIRpSAbHDILTqQCCLm/fpzEWSNPiVbsBwZIyA6QAREZ4SABGCEgOiwEBAERF8lCIgjIwREBziS7gHZ4NCEBOQSBERfiQ0YgYDok4qA6IwQkACMEBAdFgKCgOirBAFxZISA6AAREJ2Ra8Q8BMQVYX22R0D0eesVED3SX8QxK0fLj37LY3iHo8VN6D7WEjeh65CMHorAU7B01MJjeFVIPIZXRSQ8hldnFNVjeKcceqveeQQRcy/5bARZo0/JFixHxgiIDhAB0RlRAQnAiAqIDosKCBUQfZVQAXFkRAVEBziSKiBTvpGQgFyMgOgrsQEjEJD4J5X3gOjMqYDojHgPiA9GVEB0SFaVNCogKmsqICoiKiA6osheRIiA+IDfL4QKSDBeg6IREEeAIZojIDo0BERnhID4YISA6JAQEJURb0JXEQlvQh+eUT28Cf1t37xNn+gIIt64aK8IskafEgFxZByVgPz8geXyz9c6HUfX0/zJztUyaZc18qfNtkzkTegmB9EvCQKiE0VAdEYIiA9GCIgOCQFRGSEgKiIEREGEgKwbEAKin18NGRGVgBx82yK587mCGbPN9l4l926OgPQHWuwqSqXsfoWVyWYknUnbzJX7cKrjQEB8TIfVhaPVm6d5E7o+abwJXWdktR55D4jKmntAVEQj6j0gbzssoQrIhVRA9JXYgBFRC8gxO42WD2zU7ETuuAWvSnpiUe7ZeCsqIP1IIiD6srIQNK+XwrJl0t1pU9ETbkL3MXElPcZPhJEQ8xQsH7C5B0SFxD0gKiLuAdERRXYPyIaH/c5H7/Yhr1/4GfukMWRkC5Yj5KgE5JBbF8kdzxdkxl4TZPetWpxG+YlXn5NCpYyADKCIgOjLCgHRGYnVX5ypgOiwqYDojKzWIxUQlTUVEBXRiKqAICD6eugfgYAE4zUoGgFxBBiiOfeA6NDYgqUz4h4QH4yogOiQrLbyUQFRWVMBURFRAdERRVcB+VZCFZBfUQHxMe2NF4KAxD+nDz6/UM684xnnjru7S1I2uAckm01L2rt4sPgYXfCZCUilIhWDMa1c3iFdXUULQlLpWiOVkvsWo3S+SVKZjPOYKt1FMdli5FVAJOU8np4EZRGDeaumMshT9haRwUKqlEsiBn+ZT+dykkq7z72HJ9Nks46kWgFzn/5KqduEUam7bPL96B1RvrVZ0tms88GNGt0muXzOOY/3sr5SyX1hW1ZAcrm0ZDLuC6C72/vOdj+2T247RTZbf5Qz6ymjm2VUk/vcL17ZJYUu9+9974C+/L4pzsc1VIKNvvX7SPJqSV/71ae1kJr8ORUQx2lBQBwBhmg+a94KueLRuSFart2kWCpbXBNJNpOSTNr9F4fVxV71mtH990/PZaxRoiUr1sgao18enjhaDKvnF767OJaM1pHzgo4ggQVnb1hWjKzyWD3y1Du2pnxWvD9CWHxSBl8jVUYGgykUiiYX6d5QRrXlJZ93F743F6yU1avd/5DR3W3z3e/NV8pi0kSqa8gTGtePhVh5Yzjni9vKx6ZPch2OXPyPOTJr7grnPN1G69obyDVf2sZ5PEMKyLcTEpALEJBIJrTWkyIg8c8QAqIzt7pwREB01lYXxXpP8UdYrSMrRlZ5EBB9LSEgOiMERGeEgOiMXCNeQ0BcEdZnewQk/nlDQHTmVheOCIjO2uqiWO8p/girdWTFyCoPAqKvJQREZ4SA6IxGkoBsfPgfdCARRLx6/v9GkDX6lGzBcmSMgDgCDNEcAdGhWV04IiA6a6uLYr2n+COs1pEVI6s8CIi+lhAQnRECojNCQHRGrhEIiCvBOm2PgMQ/cQiIztzqwhEB0VlbXRTrPcUfYbWOrBhZ5UFA9LWEgOiMEBCdEQKiM3KNQEBcCdZpewQk/olDQHTmVheOCIjO2uqiWO8p/girdWTFyCoPAqKvJQREZ4SA6IxGkoBs8p0/6kAiiJjzyz0jyBp9SrZgOTJGQBwBhmiOgOjQrC4cERCdtdVFsd5T/BFW68iKkVUeBERfSwiIzggB0RkhIDoj1wgExJVgnbavBwH5+KvPyZpKWb44erzkLB40n/BcvbOQl+senec8Ch7DqyNEQHRGVhfFek/xRyAgOnMew6sz4jG8OiMewzs8o3p4DO8mRyRUATmPCoh+hjVgRD0JSKPgPyO/gdzy6Hznw0FAdIQIiM4IAYmPkRVrKiD6nFEB0RlRAdEZjaQKyKZH3K4DiSDilfM+tVbWX1xyo1x63Z19/+604w+Sz+6+c/Wfly7vkG+ecI48+cxLfT/fYNJ4ueSnx8jmm/S8oPHWOx+QH/z0sur/3mPXHeXU4w6Slua8+cjZguWItB4E5OoVi6Vo8PZgR1RmzamA6Cit/nKNgOisrS6K9Z7ij7BaR1aMrPIgIPpaQkB0RgiIzmhECciRCQnIuf8VkMKaLrnoyt/JgfvvJmNHt8uLc+bKocefLWeeeLDssO3WfQJyzKH7Vv954Ofhmc/K2ZfcKBeddVS1vScz3ufoQ/fVJztgBAISENjA8HoQEMdDrLnm3AOiT4nVhSMCorO2uijWe4o/wmodWTGyyoOA6GsJAdEZISA6IwREZ+Qa8Uo/ARmYyxOSk392mey4/fRqFaS3ArIuAfGEY9ONJvdVTAYKietY+7dHQBxpIiCOAEM0R0B0aFYXjgiIztrqoljvKf4Iq3VkxcgqDwKiryUERGeEgOiMRpKAbHbkHTqQCCJePnePdWYdKBwDt2D13341UFa8pF4F5aQzZ8jpJx7ct0XL6hAQEEeSCIgjwBDNERAdmtWFIwKis7a6KNZ7ij/Cah1ZMbLKg4DoawkB0RkhIDqjESUgRyUkIOesW0C0LVTe/R43/vFv1S1XzU1N1WrJPnvu0rc9CwHR13hiEQhI/OgREJ251YUjAqKztroo1nuKP8JqHVkxssqDgOhrCQHRGSEgOiMERGfkGvHyOgTEk4/5C5YMexO5VxE58YwZctxh+8uUSRPW2q5FBcR1ZiJuj4BEDHiI9AiIztzqwhEB0VlbXRTrPcUfYbWOrBhZ5UFA9LWEgOiMEBCd0UgSkKlH//fJUzoZu4iXfrH7oGR+5MNr1F9AvKdgcQ+I3bxEngkBiRzxoA4QEJ251YUjAqKztroo1nuKP8JqHVkxssqDgOhrCQHRGSEgOiMERGfkGjFQQIbbduXdVO59ep+A5W3B+tejs/uqJDwFy3U2YmyPgMQI+62uEBCdudWFIwKis7a6KNZ7ij/Cah1ZMbLKg4DoawkB0RkhIDqjkSQgmx+TTAXkxbP/WwEZ6j0f3iz1vs9j7puLqo/lnffm4urkvWva1L5H7vbOJu8B0dd1TUQgIPFPw79eWizn/OU/zh13l0pSLlec82QzaUmnU855+hK4D8lsLJVKRSwuQjs6CtJV7DYZV7lzjVRK7rky+bykM2nnMZVLJakYrCPxrmasPhaTZjUWkep5ZjEkj7VFokwuazL3HqKc0TqSdFpSKYv1WJSKwXufit0Vk+9Hj1Fza7NkshnnFbXh+FHS3pxzzpNNpcWdtEhZRCpi84XdlM1IxuD3SGs+K7mM+3fJFpNGyZg295fPPfjyEnl9+RrnObOh3DOM3x+yg/N4hkpQCwISyYFFlJSnYDmCRUAcAYZo/qeZb8ixVz8SouXaTYpF7xe1+9eadxGbTlv8OnM+JPMEFny8QXWt7JBysWgzvpVLRIqd7rnyrSJZ94sZ6e4SqXiXIq6flJhJSKXkOph+7d0vZrzLNJNPd9FEQCSbF0m7XxBXjynfLJLJuh9exmhMXQWRsruge0IkBkLUw6hVUgbn2pH7vkfeu/UkZ9ZjmvLSbCBEa7pLUrIwaxFpy2YkZ/AHkY0ntMroVvfvtSOveVz++swCZ9atrVnJ5dzPNe+PfFZ/6Pu/43veCm792fyYu6xT+sr34tm7+YqrtSAExHFGEBBHgCGaIyAhoIVsgoD4AIeA+ICEgKiQEBAVEQKiIhIERGcUlYBscWwyAvKfnyMg+qw3YAQCEv+kIiDxMUdAfLBGQHxAQkBUSAiIiggBUREhIDoiQUB8QIohhAqII2QExBFgiOYISAhoIZsgID7AISA+ICEgKiQEREWEgKiIEBAdUWQC8vbjkqmAvPAzKiA+pr3xQhCQ+OcUAYmPOQLigzUC4gMSAqJCQkBURAiIiggB0REhID4YxRFCBcSRMgLiCDBEcwQkBLSQTRAQH+AQEB+QEBAVEgKiIkJAVEQIiI4oMgHZ8vi7ffRuH/L8Tz9pnzSGjAiII2QExBFgiOYISAhoIZsgID7AISA+ICEgKiQEREWEgKiIEBAdEQLig1EcIQiII2UEZGiATU/PlPGnHOlId+jm1x19iRx+c8/bPF0+PIZXp4eA6Ix4DK8PRjyGV4eEgKiMEBAVEQKiI4pMQLb6bjIVkOd+QgXEx7Q3XggCgoDwHhD9vOY9IDojEd4DolLiPSAqIuE9ICoj3gOiIhLeA6IzGhiBgARjRgUkGK9B0QjI8ALSOX0bWXzqeY6U127OFixTnMMmowLigzVbsHxAYguWCokKiIqICoiKiAqIjijCCsg9Pnq3D3nuJ5+wTxpDRgTEETICgoBQAdFPIiogOiMqID4YUQHRIVEBURlRAVERUQHREQ2K2PqEZATk2bMQkBDTVf9NEBAEBAHRz2MERGeEgPhghIDokBAQlRECoiJCQHRECEgIRv2bUAFxBIiAICAIiH4SISA6IwTEByMERIeEgKiMEBAVEQKiIxoUMe3EZCogz5xJBSTEdNV/EwQEAUFA9PMYAdEZISA+GCEgOiQERGWEgKiIEBAdEQISghEVEEdo/ZsjIAgIAqKfUAiIzggB8cEIAdEhISAqIwRERYSA6IgGRUz/3p9CtHJvMvuMj7snSSADW7Acod/y+HLHDEM3//mDy+Vfr66RGZ+dILtv1RJJH1ZJMwvnSXbhm2uly73yH1nv8guEp2BZUU4mD0/B8sGdp2D5gMRTsFRIPAVLRcRTsFREPAVLRxTZU7AQEB/w+4UgIMF4DYpOHfe8Y4bhmqdkxl7ja15A2m+4XNpvvnKIA6lI5/RtzR/De8/M1+XYqx5x5t5d7JZyqeycJ5PNSCqdcs5TiwmsBKS4coWUu7psDnHlUpHiGvdcTa0imZx7nlJRpFxyz5NKu+fozVDx1rXFRb/lujYYT3e3SPXYHD/ZvEg645jkreb5FpGMQS4rASkWRErd7sfm8UkZzX9Tm8m5duzn3yvv3Xqy87GNbspJ3mDOukolKVcM1rWITGhrkpa8+zpqzmUka/D76Pu3PCn/eGGRM+u2tpzkcu7HlcmkJGW0Hv9+7E7OxzVUgneclEwF5OnTqYBEMqG1ntQTkB03ajIf5vOLirKkUKkrASlNnCTdE3t+OaRXrRSvCtL5jtoVkGJnUcpl94sZT0DSacOLR/PVFD6hBR+v9+KKZVIpWgnIEpFiZ/iD6m3pXThmDQSkui3IfR019BYso4s08WTPgnVVQLLua8jLkG8WyRjk8mTYQoqqW7CMhNhKipvbRDzmjp8TvvR+ef/0KY5ZRNqyGcll3L+zu0tlE833DmiLSaNkbJs7ozkLV8mKgruAnnfv8/LYnKXOrEeNykveQKzS6ZR4/7H4/O3ID1mkGZQDAQmGlQpIMF6Doj0BeeOEjRyzDG5+yK2L5I7nCzJjr9rfgtVbAenY+wDp2O/A6sE0PT1Txp9yZCRbsKwqIAiIvmwREJ2RICA6JAREZ4SAqIwQEBWRICA6o+gE5F698wginj79/0WQNfqUCIgjYwREBAGhAqKdRlRANELez1N2W14qBn8B7xuywV8dERB9ASAgKiMEREWEgOiIJCoBeef3kxGQp36MgPiY9sYLQUAQELZg6ec1AqIzQkB8MGILlg6JLVgqI7ZgqYiELVg6o4ERCEgwZlRAgvEaFI2AICAIiH4SISA6IwTEByMERIeEgKiMEBAVEQKiIxoU8a4fJFMBefI0KiAhpqv+myAgCAgCop/HCIjOCAHxwQgB0SEhICojBERFhIDoiIYQkD+HaOXe5MnT/sc9SQIZqIA4QkdAEBAERD+JEBCdEQLigxECokNCQFRGCIiKCAHREQ2KePcPkxGQJ36EgISYrvpvgoAMLyCliZNl9Ud3M53o3236YTnyuiedc/IULB0hT8HSGfEULB+MuAldh8RN6CojbkJXEXETuo4ospvQERAf8PuFUAEJxmtQNAIyvIA44h2y+bVHXyyH3/Ssc2oEREeIgOiMEBAfjBAQHRICojJCQFRECIiOCAHxwSiOEATEkTICMrSAZBbOk9b77nakO3Tz303dmQpIJGQHJ0VAfIDmPSA6JAREZ4SAqIwQEBURAqIjikxAtjk5mS1Ys05lC5aPaW+8EARkaAGJcqZ5EWGUdNfOjYD4YI2A6JAQEJ0RAqIyQkBURAiIjihCAfmLj97tQ2aduqt90hgyUgFxhIyAICDchK6fRNyErjPiJnQfjLgJXYfETegqI25CVxFxE7qOaFDEtqckIyAzT0FAQkxX/TdBQBAQBEQ/jxEQnREC4oMRAqJDQkBURgiIiggB0REhICEY9W9CBcQV4HHPyxsnbOSYZXDzQ25dJHc8X5AZe02Q3bdqMc9vmbD9hsul/eYrpWPvA6RjvwMtUw+Ziy1YkSPu64AtWD5YswVLh8QWLJ0RW7BURmzBUhGxBUtHFNkWrO1OTaYC8vjJVEB8THvjhVABoQJCBUQ/r6mA6IyogPhgRAVEh0QFRGVEBURFRAVERzQoYrtT7wvRyr3J4yd/zD1JAhmogDhCR0AQEAREP4kQEJ0RAuKDEQKiQ0JAVEYIiIoIAdERDYp4z4+SEZDHfoiAhJiu+m8yEgWk6emZkp89q2/ymp56XPKzZ7IFq/6X86AjYAuWj0llC5YOiS1YOiO2YKmM2IKlImILlo4osi1YCIgP+P1CqIAE4zUoeiQKSO89H2vBqIh07BPfPSDHXPmw48yJFLuKUi6VnfNks1lJpVPOeWoxQaVSEe8/rp/ujuVS6ep0TdPTftVSkeIa91z5VpFM1j2P91f5svs6kpS3hozWUcUbj/u82Y3HYiwiYlYBaRJJZ9zn3suQbxbJGOTK5G3G1LVGpNztUkSGYwAAIABJREFUfmypjPSsSYNPc5tINuec6Ltf2lHeN22Kc572pqzkM2nnPC35jGSNvvu9XDmDMS1Y0SmFrpLzsZ1/7/Py+JylznlGjcpLLud+fmQyaUm7T1n1eB48Zifn4xoqAQISDCsCEowXAiL/3XLVOX0b6Zq+reSfnilNz8yKrwLy+OtiJiAGF45swdJPou4Vy6RStBQQg1z5FhHvr86un+4ukeoFv+snZXfBZ7Cu+47G4iLUhE+vgBjITNboYt+DlGuyEVmrMXUWRMruF6DVq72U0RVfk42AHPvFHeV9090FZGxzXloMLoo3Gt8i67UYfIeIyAvzO2TZ6qLrl4h0lcpi8W108b0vyKxXlzmPp7U1ZyIg2awnIDZC/M/v7ux8XEMl2P60ZLZgPfoDtmBFMqG1nnQkV0B6n3oV+1OwEJDYTgurLVgIiJ8pQ0BUStUKCAIyLCcERF1GCIiKSBAQndHAiO1P+2vwRgYtHv3BRw2yxJ+CCogjcwTkQEFAMpK2qg07rkfr5giID6JUQHRIVEB0RlRAVEZUQFREVEB0RBJVBeS9P05GQB75PgLiY9obLwQBQUDYgqWf11RAdEamT8FiC9bwwK0u9r1e2IKlL262YKmM2IKlnLJ1sAULAVGX+VoBVECC8RoUjYAgIAiIfhIhIDojBMQHI7Zg6ZDYgqUyYguWiogtWDqiQRE7nJ5MBeThk6iAhJiu+m+CgCAgCIh+HiMgOiMExAcjBESHhICojBAQFRECoiMaQkD+FqKVe5OHT9rFPUkCGaiAOEJHQBAQBEQ/iRAQnREC4oMRAqJDQkBURgiIiggB0RENinjfGckIyEPfQ0BCTFf9N0FAhheQ8ScfaT7JN+32LfnO9U85562+B8RgrzwCok8FAqIzQkB8MEJAdEgIiMoIAVERISA6IgQkBKP+TaiAuAI87nl544SNHLMMbn7IrYvkjucLMmOvCbL7Vi3m+V0SDnzq1XBPwZqyj72ZX3vUxfLtG59xOYRqWwRER2ghaF4vCIjOGgHxwQgB0SEhICojBERFhIDoiBCQEIwQEEdoawFEQIZ9DG+vgCw+5Vwz6rcXxspR1zzmnA8B0REiIDoj4TG8OiQew6szsnoyFwKiskZAVEQIiI5oUMT7z0xmC9a/T7T/Q2+Iww/chApIYGRrN2AL1vBbsHoFZO5NdifmPbyI0HHV+m+OgPhghYDokBAQnRECojLiPSAqIt4DoiOK7D0g7z/zfh+924f8+8SP2CeNISMC4ggZAUFAuAdEP4nYgqUzYguWD0ZswdIhUQFRGVEBURFRAdERDYrY8axkBORfJyAgIaar/psgIAgIAqKfxwiIzggB8cEIAdEhISAqIwRERYSA6IgQkBCM+jehAuIKkHtAfN0DwhYsx4WWUHO2YPkAzxYsHRJbsHRGbMFSGbEFS0XEFiwdUWRbsD7wk2QqIP/8LhUQH9PeeCFUQKiAUAHRz2sqIDojKiA+GFEB0SFRAVEZUQFREVEB0RENivjATx4I0cq9yT+/u7N7kgQyUAFxhI6AICAIiH4SISA6IwTEByMERIeEgKiMEBAVEQKiI0JAQjDq3wQBcQXIFqy+LVjDoazJLVjFopRLZccVINLIAlKpVMT7j+unu2O5VIqdrml62q9cKmKRq6nVmzz3MXlbsAxeaCmplFQlxOJjteXJG0t1XI6f6hpyX0dS6rZhncuLpDOOB/VW81yTTa6sUZ6ugkip5H5smYzN3HsjaWoTyeacx3TsF94vO0zfwDnPRmNaZb0m9/E05dKSSRucHyIyf/kaWdXZ7Xxs3WXvO9s5jVxw7/My85WlzolaW3OSzbqfa7lcWlIW30UiEtVToz7402QqIP93PBUQ54VajwmogPy3AhKbgMx8XY696hHn5eK9B6RSdv+mTmfTkk6nncdTTeA+nP+Ow+D3ogUfb0DFjuVSLnbZMFq5xEZA8q0mF0VVGTK54E/ZXfCZjOet6bL4pW9xReQNp7tow9q738JCPr0xWd27YTUmswpIRsTqe81IQI75/Htlh2nuArLthmNkUnuz8/fRq4tWS8cad2moLu1S2eTr3+BXWpXLOXc9K4++vMSZUUtLVnI5dwHJVn/PGvxSE5GHvhfNezMQkGDLhQpIMF6DohGQA4clGMl7QBAQf6vW4LsaAfGBGgHRISEgOiMERGWEgKiIBAHRGUUlIB/62YN65xFE/OO4nSLIGn1KBMSRMQKCgFAB0U8iKiA6I9N7QKiADA/c6mKfCoifhW22BQsB0XEjIDojBERnFEcEAuJIOSoBOfi2RXLncwXZcnxWxrW6ly8dD3Ot5tmF82W/F/4oB+w8RTr2Q0AQEH11ISA6IwTEByO2YOmQ2IKlMmILloqILVg6okERH/55MhWQvx9LBSTEdNV/k6gFpFYJHfHm3XLajlkEREQQEH2VIiA6IwTEByMERIeEgKiMEBAVEQKiI0JAQjDq34QKiCvAiJ6C9fzCbllccH9Ck+PhDdm89a93ydvvvVYm7flJBAQB8bXEEBA/mLgJXaWEgKiIBAFRGSEgKiIEREc0KGKns5OpgDx4DBWQENNV/02iqoDUMpn2Gy6X9puvlI69D0BAEBBfSxUB8YMJAVEpISAqIgRER4SA6Ix4CpbOaGDETmf/PXgjgxYPHvNhgyzxp6AC4sgcAfF3D8jiU891JP3f5rcXxsrRv33cOR+P4dUR8hQsnRGP4fXBiKdg6ZCsboynAqKyRkBURFRAdERDVEAQkCDYEJAgtIaIRUD8CYgj5rWaX3v0xXL4Tc86p0RAdIQIiM4IAfHBCAHRISEgKiOegqUi4jG8OqLI3gOy8y+SEZAHjqYC4mPaGy8EARleQMaffIT5pN+0+7fliBueds6LgOgIERCdEQLigxECokNCQFRGCIiKCAHRESEgPhjFEUIFxJEyAjK8gDjiHbL5PbyI0B9WXkQ4PCfehO5zHVkspIq/vrQo7gHRCAn3gOiI2IKlM+IeEJ3RwIiPnPOP4I0MWtx/1IcMssSfAgFxZI6AICA8hlc/ibgJXWfEY3h9MEJAdEjcA6IyQkBURNwDoiMaFIGABIOGgATjNSgaAUFAEBD9JEJAdEYIiA9GCIgOCQFRGSEgKiIEREc0KGKXc5OpgPztSCogIaar/psgIAgIAqKfxwiIzggB8cEIAdEhISAqIwRERYSA6IgQkBCM+jehAuIKMKIXEToOK9LmQd4DEsVAuAfEJ1WLrftlm737CIifOeM9IColBERFxD0gOiIERGfEPSA6o4ERHz0vmQrIX4+gAhJ8thqgBRUQKiBUQPQTGQHRGVEB8cEIAdEhUQFRGSEgKiIqIDqiQREfPe//QrRyb/LXIz7oniSBDFRAHKEjIAgIAqKfRAiIzggB8cEIAdEhISAqIwRERYSA6IgQkBCM+jdBQFwBsgXLkWDw5vc8/rocfeVDwRsOaNHd1S3lctk5TyabkVTaYL+TNxKbHU89x2QwJKv3gHR3LJNKV6cz62qCVUtFuta452pqE8nk3PN0d4oYrCNJeRNmMGnVIyrbrKXqcCzGVBGxeBdIqWjDOtckks64z72XIddsk8t7D4jFmLoKIuWS+7F5Y0ml3fN4GZptzrXTD9lJdnr3hs5jGtWUlXzG/diWrOySNUUD1t5Xv9F3f3e5IhWDZBf++QWZ+cpSZ9ZtbXnJ5dxZZ7NpSRv9nv3ndz/ifFxDJfjYL5OpgNz3HSogkUxorSelAhJ/BeTux1+Toy93F5BiZ9FMQNJp9y/YWlzrFoLmHVdpxRKRooE0eMlWerkMZCbfJpI1EBBvLBV3kW3sCogFHxGpxQpIvsVGZNNZEYvvkVoUEE/2Dc61a07cXfbYcXPnr8rHX1sqC1a6f4f0/MnAQtBFMumUpKt/hHD7dHaXpGQgIFc/8LLMfn2F22BEpL09L/l81jmPJx9WAhLVm8MRkGDTTAUkGK9B0QgIAuJVQBCQ4U8kBMTPF00j34SOgKgrAAFRESEgKiJBQHRGUQnIruf/U+88goi/HP6BCLJGnxIBcWSMgCAgCIh+EiEgOiMqID4YUQHRIVEBURlRAVERCRUQndHACAQkGDMEJBgvKiBeSfWGy6X95iulY+8DpGM/BAQB0U8iBERnhID4YISA6JAQEJURAqIiQkB0RIMi/iehCsifqYCEmK0GaEIFBAFBQPQTGQHRGSEgPhghIDokBERlhICoiBAQHdFgAbkgmS1Yf/42W7BCTFf9N0FAEBAERD+PERCdEQLigxECokNCQFRGCIiKCAHREQ2K+H8JCci9CEiI2WqAJggIAoKA6CcyAqIzQkB8MEJAdEgIiMoIAVERISA6okERH//Vv0K0cm/yp2/t6J4kgQzcA+IIfSQLSGniZOmeONmRYPDmN+52mBx+7ZPBGw5owWN4dYQ8hldnVH0kMI/hHR6UCR8ew+tjNYogIComBERFhIDoiBCQEIz6N0FAXAGO4BcROqIL3fy3R10k37p+duj2vQ0REB0hAqIzQkB8MEJAdEg8hldlxGN4VUQ8hldHJFE9hvcTCVVA7qEC4mPWGzBkJFZAMgvnSXbBm4nN5h8LY+TIqx517h8B0REiIDojBMQHIwREh4SAqIwQEBURAqIjik5ALkxmC9Y9h7EFy8e0N17ISBSQpGeRN6HHNwMIiA/WbMHSISEgOiMERGWEgKiIEBAdUWQC8skL/+2jd/uQuw97/1pJf3HJjXLpdXf2/bvTjj9IPrv7zn3//PDMZ+WrR55V/ed3TZsqF511lIwd3d7381vvfEB+8NPLqv+8x647yqnHHSQtzXnzgbMFyxEpAuIIMERzBCQEtJBNEBAf4BAQHRICojNCQFRGCIiKCAHRETW0gBTWdMlFV/5ODtx/t6pUvDhnrhx6/Nly5okHyw7bbl3955POnCGnn3iwbL7JFPFk41+Pzu6TDE9Ozr7kxj4p8WTG+xx96L4+yAYLQUCC8RoUjYA4AgzRHAEJAS1kEwTEBzgERIeEgOiMEBCVEQKiIkJAdESRCchuFyVTAbnrm2tXQPoj8ITk5J9dJjtuP71aBfGE45XX5vcJxUAh8YRj040m91VMBgqJD7y+QxAQ36iGDkRAHAGGaI6AhIAWsgkC4gMcAqJDQkB0RgiIyggBUREhIDqiESUgS5d3yDdPOEeOOXTfagVkYEWj/8/fufXUtWTFQzlQUHzg9R2CgPhGhYA4ojJrjoCYoVQTISAqIuEmdB+MEBAdEgKiMkJAVEQIiI4oMgHZ/eJkKiB3fmPdFZCBwjGwwjGUgOyz5y5VWUFAfCymJEOogMRPHwGJjzkC4oM1FRAdEgKiM0JAVEYIiIoIAdERRSggD/no3T7kzm+8b8iknmzMX7BkrZvIqYDY808sIwISP3oEJD7mCIgP1giIDgkB0RkhICojBERFhIDoiCITkD0uTkZA7hhCQIaSDw8N94D4WCD1EoKAxD9Tf39ugZx1u/uLCMulklTKFecDSGfSkkqlnPP0JHAfT08em/FUKjbjaSsXJCfdJozKhVUipaJzrnSuSVKZrHOeSqlbKuWycx67NSRS9ubNYu5SKZOV5I3H+z/nj3fOGhxXJpuVVDrjPBwvQSbfJGmDXE25nGQM8nQXO6VcLjkfW1lSUjGZfZHxY9qlpcn9MZ7TNh4v49drcT62OcsK0tHpzsg7x2y+aUXS3rlm8Huku1IRg19rMnthQRYX3L+z1xQ6pdTtztrjIwZ8vMUz+6zdndfQUAk+dUkyAnL7oWtXQIZ7chVPwYpk6pNJioDEz/3ZRavk1tkLnTtOp3q+9GvpU71wNPrYXDrauMxmY/MyusX9Yt9DUyyZXMpKPp2SjLcIHD+l6sW1+8cbidVy9BhZXISkjcZkNWcea4uP1dx7Y2nNZiSX8Ui5fcY15aUl636OrCoWpWjAqbNUkpINbnnvRmNl8nrNboBE5Itn3CF3/vsl5zySzYkYyJ6UvAtrI0iptM0XQNr7g5j7epz+7o1kwvrrObOe/cRrsnhRh3MeywSrbjrQMl1frloQkN57Op58Zu3zpP/7PHgPSCTTH39SBCR+5giIP+YIyPCcrC5CERB9PSIgOiMERGeEgOiMBAFRIUUlIHsmVAH544AKiAqgRgJ4CpbjRCAgjgBDNEdA/EFDQBAQfytl3VFUQHSCVEB0RlRAdEZCBcQHJJuQyATk1w/bDDBglj8eskPAFrURjoA4zgMC4ggwRHMExB80BAQB8bdSEBAXTgiITg8B0RkhID4YGYVEJSD/m5CA/AEBMVoZdZYGAYl/whAQf8wREATE30pBQFw4ISA6PQREZ4SA+GBkFBKZgMxIpgLyh4OpgBgtjfpKg4DEP18IiD/mCAgC4m+lICAunBAQnR4CojNCQHwwMgqJSkA+nZCA/B4BMVoZdZYGAYl/whAQf8wREATE30pBQFw4ISA6PQREZ4SA+GBkFBKdgDxiNMJgaX5/8HuDNaiRaO4BcZyIkSggp9w/Q55d9LIjufDNj//g0XL3CyvDJ3irJY/h9YnQ/Um1wmN4ddY8hldnxGN4dUY8hldnxGN4dUY8hldnNDDiM79JRkB+93UEJPhsNUALBCT+SURA/DGnAkIFxN9KoQLiwokKiE6PCojOiAqID0ZGIVFVQBCQYBNEBSQYr0HRI1lAfrjzwTJ94maOBIM3ZwuWP2YICALib6UgIC6cEBCdHgKiM0JAfDAyColKQPZKqAJyGxUQo5VRZ2kQEATEcsnyJnSdptVL7XgRoc6a94DojBAQnRECojNCQHwwMgqJSkA+e2kyW7Bu/RpbsIyWRn2lQUAQEMsVi4DoNBEQf4zKFT1Oi0BANEIiCIjOCAHRGSEgPhgZhUQnII8ajTBYmlu/tn2wBjUSzRYsx4lAQBAQxyW0VnMERKeJgPhjhICsm5NV9cvrAQHR1yMCojNCQHwwMgqJSkA+d1kyAnLLQQiI0dKorzQICAJiuWIREJ0mAuKPEQKCgOgrZd0RnaWSlAyqaF4PCIiPmUilRVIGjxxMpyXl5XL88BSs4AARkGDMqIAE4zUoGgFBQByXEBWQgAAREB2YxwgBQUD0lYKAuDCSUklEjCwNAXGaiiCNo6qA7J1QBeRmKiBBpr9xYhtZQJat6ZC5HYsGTdYVs26XV5fPE56CZb+OqYDoTBEQf4wQEAREXykIiAsjBESnN/uJ12Txog49MMaIyATk8mS2YN18IFuwYlw+tdNVIwvIfS8/LL9+7LZ1wk5KQJ5esFKuf2K+8yLIpFOSNih5VypGfwHz/pZWMft7mjMfL0F1Q4DBroCp45tlTEvWZExWtHPV+XcfknehbzEmyxcRdpd71pLrxzs9DBBJqVwxYVR9EaHBcWWN5t7j25RNS8bge2R8c5M0ZzOuUyZrSiXpLped84xuyUtTzn0rjzeQ9qas5DPuuY4452756yMGL8HN5URS7qylXLI50arfs97JZnC2ZTJSvZ/E8bPluzaRcRPWc8wi8vxTr8rSRSuc81gmWP27Qy3T9eXa5/LHIsmrJb3pwPdoITX5c7ZgOU7LSBCQMc3tMnnUhD5Sc5bPk0JxTWIVkJlzV8hlj7zhOHMiuUxaPAlx/ZQMftn3jsHiotHLZVVJ6bkodmf09vVbZWxbzhV1tb138Wgxb1ZPeOo5KHdGJlfWaxG2GJPJlJmtR09kLD7eaW+xrntn3uAUkXHNeWnJuV8UF0tlcdcPu/s2PEYPv7pE3uzodJ66c35zrzz25BznPDX5JnTvO8RiIWWyIml3Adl42mYyesIYZ9ZzZr8sKxYvd85j+f1YuOsog/EMToGABMOKgATjNSi6kQXkLy8/LDMeu0123WwHOfg9e/Ud+yn3z5BnF72MgLxFBAHRTyIERGdk+QvWTor8jFuPsRJiBERnjYDojBAQnRECojMaGLHvFclUQG78KhWQ4LPVAC0QkPhvQqcCop84Vhd8VEB01nYX+zZ/3f/viKmArGv2qIDo69rqyVVUQHTWfd8hVECGgWX3/RhVBQQB8bvW31rxFcsN7MH6bohoBAQBoQKin8pUQHRGVEB0RlRAdEZUQHRGVEB0RlRAdEYDI/a78vHgjQxa3HDAdgZZ4k/BFixH5ggIAoKA6CcRAqIzQkB0RgiIzggB0RkhIDojBERnNDBi/4QE5HoEJPhkNUILBAQBQUD0MxkB0RkhIDojBERnhIDojBAQnRECojNCQIIz6t+CCogbP0FAEBAERD+JEBCdEQKiM0JAdEYIiM4IAdEZISA6o4ERn78qmS1Y132FLVjBZ6sBWoxkAfnIJu+RiW3jYp/FTdq3kasfW+DcL4/h1RFyE7rOqCfC4oZvu5ss7cbk9/iHj7N6KAICos8HAqIzQkB0RgiIzggBCc6ICogbs7Vaj2QBMcQYKNUR7z1Crpu1JFCboYIREB0hAqIzsrvYR0A02giIRkgEAdEZISA6IwREZzQw4gtXzQzeyKDFtV/Z1iBL/CnYguXIfCQKyP1zHpMFq9wFICz6TdfbjgqIAs/qL84IiN9VSgVkOFJW6xEB0dcjAqIzQkB0RgiIzmiQgFydkIB8GQEJPlsN0GIkCkjS08Z7QPQZsLrgQ0B01lRAdEZW6xEB0VkjIDojBERnhIDojAZGfDEhAfktAhJ8shqhBQIS/ywiIDpzqws+BERnjYDojKzWIwKis0ZAdEYIiM4IAdEZISDBGfVvwRYsN34j8ilYjsicmyMgOkKrCz4ERGeNgOiMrNYjAqKzRkB0RgiIzggB0RkNjPjSNclswbrmS2zBCj5bDdCCCkj8k4iA6MytLvgQEJ01AqIzslqPCIjOGgHRGSEgOiMERGc0WEBmBW9k0OKaL21jkCX+FFRAHJkjII4AQzRHQHRoVhd8CIjOGgHRGVmtRwREZ42A6IwQEJ0RAqIzGhjx5d8mIyBXfxEBCT5bDdACAYl/EhEQnbnVBR8CorNGQHRGVusRAdFZIyA6IwREZ4SA6IwGRnwlIQG5CgEJPlmN0AIBiX8WERCdudUFHwKis0ZAdEZW6xEB0VkjIDojBERnhIDojBCQ4Iz6t2ALlhs/bkJ35Bem+ax5K+SKR+eGabpWG6sXEXoXV5WK0UvkKiIWmXpyuGdKmbzhW2SrSa0yti3nPGdeglw6JemU+3s3sl4egxFVjBhZzFfv4bjPvAGYfimq54hBykrZo+SeKZVKicESqh5RcyYj3lpy/bTnspLPuK/I1qaMZLPuedqbbMbjcXl16WpZsabbFZH8YsY98sisV5zzmAlIuSRi9d3vLUiLRZnJiqTc53/qu7eQ0RPHOrN+6cmXZPmiZc55ehK4n/telsJdRxmNZ+00B1ybzBasK7/AFqxIJrTWk1IBiX+GnpzfIdfMnOfccS6blozBhUO5bPOlWP16NUpllKbK2P3SSmTrSS0y3khAsum0ZAx+UefTaZMLRyvWVlUCb85KVgvJ+SzrSWA1HsvDMlhC1WMb35yX1mzWmVRabMR66vptMsbgXHv41SXyZken83F5CazOtZ9cdIc8NOtl9zFlciLpjHseT0CsPlYCks6KpN0FZKv3bi3jJo93PrpnH/+PLF1gICCGJ3/hziOcj2uoBAdc+0QkebWkV37h3VpITf6cCojjtCAgjgBDNEdAdGhWF8UISHysERAfrA0XNgIyPG8ERF+PgoCokEaSgHw1IQG5AgFR12FDBiAg8U8rAqIzN7xOowKi4LZijYD4WNdWsL3KnkVpjwqIPmlUQHwxqi5Ii0VJBUTlHVUF5KvXJVMBueLzVEDUSW/EAAQk/llFQHTmhtdpCAgCoi84JYItWDpCtmDpjNiCpTMSBESFFJWAHJiQgFyOgKhz3pABjSYgq4tr5JVlPfdXPDbvWbn9hQdl1812kIPfs1fNzB8Cok8FAqIzstqXbsWaCog+Z4bbwE3+2OyNmHtA9HmzOtcQEJ01AqIzikxArn9S7zyCiMv3f1cEWaNPyT0gjowbTUCeXviSnPbAb/pRqcium70PARlmnXATun4ScRO6zggB0RkhIDojbkLXGQk3oauQuAldRTQo4KCEBOQyBCT4ZDVCi0YVkNZcs6zX1CbzVy6mAqIsVAREP5MREJ0RAqIzQkB0RgiIzggB0RkhIDqjgREISDBmVECC8RoU3WgC8tTCl+THD/xG3jlxqnxgo21kxmO3BRKQm2b/WW555j5HqsM3P+p9R8qtT7s/1o/H8PqbJot7dREQnTUCojNCQHRGCIjOCAHRGSEgOqOBEV+7IZktWJfuxxas4LPVAC0QkLUnEQFxW9RWF1hW9yV4R4OADD+nVqwREP3csTo/quvaYmFzD4g+aTwFyxcjnoKlYDI8+aO6B+TrCQnIbxAQf+dYo0UhIEMLyOemfUz2mf4/kUw3N6HrWK0uihGQ+FgjID5YGy5sBGR43rwHRF+PvAdEZzSS3gPy9Rue0oFEEPGb/d4ZQdboU7IFy5ExAoKAcA+IfhKxBUtnhIDojAz/CEoFRMGNgOjrEQHRGY0kATn4xmQEZMa+CIi+EhswAgFBQBAQ/cRGQHRGCIjOCAHRGXEPiM6Ie0B0RtwDojMaGIGABGNGBSQYr0HRCAgCgoDoJxECojNCQHRGCIjOCAHRGSEgOiMERGc0MOKQm5KpgPx6HyogwWerAVogIAgIAqKfyAiIzggB0RkhIDojBERnhIDojBAQnRECEpxR/xZUQNz4CQKCgCAg+kmEgOiMEBCdEQKiM0JAdEYIiM4IAdEZDYw49KangzcyaHHJPu8wyBJ/CgTEkflIF5BnFr28FsG/vfKo/G3OY7I3T8EKtbKsLrAMHxbEY3iVmbRijYDop4zV+eH1xFOwhufNTej6euQmdJ3RSLoJ/dCbExKQvREQfSU2YMRIF5D9b/neoFn1LsiiFJCn3uyQa2fNd15NuUxa0mn3lwFUKhWxvDASgytaL4VBGhP58CZq2qQWGd+uQBRJAAAgAElEQVSWc54zL0Ha6MqxKZOWjFEuC9besVnl8WTGW5cWn5QBo5I3FoPhVI/L4KC8NWRwWNWRjMnnpDmbcR7V+NYmac6552nJpyWbTjuP5/lFHbK00OWcx0vQkslIzmBMP774Lvn3rLX/6BVqgJm8iMF4pFIWsy9/b0FaLMp01uTYtn7PljJu8thQePs3enbmS7JkwXLnPCYn/lujKNz+LffxDJHhGwkJyMUISCTzWfNJEZAeAdl6wmbV/164eqksXr1MonwPyDMLV8qNTy5wXhuefFgJiPNgehNYXF2JSNkojzcsi9+J09ZvkQlGAtJdtrkIzae9CzUDATWbfLtEpXLZ5Pe1R8dEQIwWpCcyFkvbE08rkW3LZsT7Y4br511TRsvE9ibXNPLim6tk+eqic54VxaIUy2XnPF6C9mxW8hl3ufrhxffIP56Y4z6mbE4k7T4e0wqI9+ceiy/bqoC4H9u0bTeTCZNGO7OePWuOLF64wjlPTwL372svS+G2rxuNZ+00CEgwrGzBCsZrUDQC0iMg13/ujOp/974JHQEJubAsrq4QEF/wERAdEwKiM0JAdEYIiM6oenGNgCigaltAvnnLbD8TbR5z0eemm+eMIyEC4kgZAUFArLa6VJciAqKekVRAVERCBWR4RlRA9DVEBURnRAVEZzSSKiCHJSQgFyIg+kJsxAgEBAFBQPQzmy1YOiPLCAQEAXFdTwiID4Llko8gvyFUQHRStV0BOezWZCogF36WCoi+dhowAgFBQBAQ/cRGQHRGlhEICALiup4QEB8EERAV0kiqgHwrIQH5FQKirsOGDEBAEBAERD+1ERCdkWUEAoKAuK4nBMQHQQREhYSAqIicAxAQZ4T1mQABQUAQEP3cRUB0RpYRCAgC4rqeEBAfBBEQFdJIEpBv3/aMyiOKgAv2mhZF2shzchO6I2IEZGgBmTZhqrxj/amOdIduvuW47eS2p5c65+YxvP4QWjyYBQHxx9oqCgFBQFzXEgLigyACokIaSQJyeEICcj4Coq7DhgxAQIYWkCgn+7gPHCW3P9vh3AUC4g8hAjI8J6MHl/mbDJ9RCAgC4nOprDMMAfFBEAFRISEgKiLnAATEGWF9JkBA1haQ2QtflqcXvhjpZG41fnsqIApho/e+VXtBQBAQ1xO6ZLQgeRGhPhO8iFBnJLyIUIXEiwhVRIMCvvO7ZLZg/fIzbMEKPlsN0AIBWVtA4phS3oSuUza63kNAdNRWr27x0ZP/ECogVED8r5ahI6mA+CBIBUSFNJIqIEckJCDnISDqOmzIAAQEAeEmdP3U5h4QnZFlBAKCgLiuJwTEB0EERIU0ogTk98lUQM77NBUQdSE2YsBIEBA/83b9587wE2YSQwVEx0gFRGeUT6clm3Z/sRX3gOis2YKlM3rXlNEysb1JD1Qi2ILlAyFbsFRIbMFSEQ0KODIhATkXAQk+WY3QAgHpmUUExGg1G13NIiD6fCAgOiNPz1IGNwEhIDprBERn9MOL75F/PDFHD9QiEBCNkCAgKqJBAUf9/tngjQxanPPprQ2yxJ+Cx/A6Mm9kAfn+zl9X6ex/C1uw2IKlLhNhC5bOyDKCLVjD08ykUpI2ECuvl7ZsRnKZtPP0ISA6QgREZyTprEg64yNw+BAEJDjCo/6QkID8LwISfLYaoAUCgoAgIPqJjIDojCwjEBAExHU9cQ+ID4LcA6JCGkn3gBydkID8AgFR12FDBiAgCAgCop/aCIjOyDICAUFAXNcTAuKDIAKiQhpJAnJMQgJyNgKirsOGDEBA4heQp99cKdfOmu+8nrKZlKQMbkKWSsXuUaxG94BUKmIyJvdbtHumacv1W2RsS9Z5zrwERoikOZsWbyuO68eKteEqkrLRmuyh487IG4/FxHV7x2WwALx5N5j6Kp2p49pkdHPOdRnJqKas5DLurBd3dMmarrLzeBav6ZRCqeScx0vQnsuJd8+V6+f0GffKv594xTWNSCYnYjAeqZTFZEFWT7O0zUuXqluw3FlP225zGT9prDPr2bNekSULljvnsfge6h1E4feHGIxncIpj/pjMFqyz92QLViQTWutJEZD4BeSJeR1y5WNznZeGJyAZAwGxuCDqPZjqhVoNfayGs+n4Zhnd4n6R5qHxpsxi/35LLmVywdddMrm2FlsBsVlEVvNvVSUslipi8YAFbw1Z3FzvUf7kVuvLZuPbnIE/8cYyWbSyyzlPc8Z7upv7BehrK1ZLR7HbeTxVAclnJW9wn8y5l/5ZHnvqVfcxeXy8C37XjycgVp9aE5Dtt5Lxk8c5H93sx1+SJQstBKRqac7j8RIU/vANkzwDkxybkID8HAGJZD5rPikCgoBYXaR5ix0B0U95BERnZHGR7vVitbYREH3OEBCdEQKiM+q5Cd1drqYhID5grx1y3O3JVEB+9ikqIIEnqxEaICAIiNVFGgLi7xsBAdE5ISDDM6ICoq8hKiA6o+oWLKsPFRAfJGu7AnLc7c/5OAb7kJ99aiv7pDFk5DG8jpAREAQEAdFPIrZg6YzYgqUzYguWzogtWDqjaoWALVjDgqIC4mMdDQg5PiEB+SkCEnyyGqEFAoKAICD6mYyA6IwQEJ0RAqIzQkB0RgiIzggB0RkNjPjuHclUQH6yBxWQ4LPVAC0QEAQEAdFPZAREZ4SA6IwQEJ0RAqIzQkB0RgiIzggBCc6ofwu2YLnxEwQEAUFA9JMIAdEZISA6IwREZ4SA6IwQEJ0RAqIzGhhxQkIVkLOogASfrEZogYD0CMi0CVNjm87dp35Grn9isXN/PIZXR2glVwiID9YWL8p4qxtuQh+eNzeh6+uRm9B1RtyErjMaSY/hPfHOZLZgnbk7W7D0ldiAEQhIj4DE+TlyhyPlpieXOneJgOgIERCdEe8B0RnxGF6dEY/h1RnxGF6dEY/h1RlF9R6QE+98Xu88gogzd98ygqzRp2QLliPjkS4gsxe+7EgwePPO4li55vE3gzcc0AIB0REiIDojBERnhIDojBAQnRECojNCQHRGUQnI9+5KRkDO2A0B0We9ASNGuoAkMaW8CT0+6giIzhoB0RkhIDojBERnhIDojBAQnVFUAnJSQgJyOgKiT3ojRiAg8c8qAhIfcwREZ42A6IwQEJ0RAqIzQkB0RgiIzggB0RnFEcEWLEfKCIgjwBDNEZAQ0EI2QUB0cAiIzggB0RkhIDojBERnhIDojKISkO/fncwWrB9/ki1Y+qw3YAQCEv+kIiDxMUdAdNYIiM4IAdEZISA6IwREZ4SA6IyiEpAfJCQgp61DQG698wF55bX5cvSh+/ZBWbq8Q755wjny5DMv9f27DSaNl0t+eoxsvsmU6r/z2v3gp5dV//ceu+4opx53kLQ053WwASOogAQENjAcAXEEGKI5AhICWsgmCIgODgHRGSEgOiMERGeEgOiMEBCdUVQC8sOEBORHAwTk4ZnPylePPKsK4muf331IATnm0H1lh223HgTLa3v2JTfKRWcdJWNHt8svLrmxGtNfYnTC/iIQEH+c1hmFgDgCDNEcAQkBLWQTBEQHh4DojBAQnRECojNCQHRGCIjOKDIBuecFvfMIIn70ibcPmXW4Csi6BMQTjk03miyf3X3nas6BQmI5fATEkSYC4ggwRPNZc1fI5Y+8EaLl2k1y2bSkvTeSOX6sLq68YfS8QK76/2rjU3Hn4x3INm9rl4mjmkyOKZsWSYn7uJqyKcmYzL/VjNnNu7eOrLK5kxbpEVn3EXWXe3O5LaX25qzkvYVk8BnXmpfmnHuuBSvWyOqukvOIsumUZFLus7ZgdaesLrqPxzugllxacml3Rhdc+ieZ+eQrzowkkxVJuY+n50WE7uu6ekDV8bjPm9Wxbbn9NBk7eZwz6+dnvihLFyxzzmOZoHDndyzT9eU6OSEBOTWEgPRuweq//aqwpktO/tllsuP20/sE5MU5c+WkM2fI6Sce3LdFywoeAuJIEgFxBBii+eNvLJffPPR6iJZrN/EEJGPwS7FsVSbwfpUZ5TL6lVj9dZgyuJj55JYTZbNxrc5z5iXwLrDSBmOyehu2l8diPCZw/n977wJnZ1Xfe/9n7z2TSUIuQG4itwREQG4Saa1VsIiXotQLlYNvz3n1WCO1tWj1oKC2Xqu+etRq36oQ8NpaigetUhAromBrEQyXBAIESAjkAkySyeQyk8xk7zmftScTdmbP7N/z7PXfl3nmu885n4OZ9ay91net9ezn+/zXZX8mRaej0ANmj/b36tdejI4+fIbNmdHpkt1PHnraHt/WH53XnO6CdTtI0bDTA/HuwaLtc+pHoVoeY+Sqq2+yVasczp4qdJnl8tFtZsUgaI53W4f7mlcEZPGZL7C5i+ZFM1p778PW1xN/cLAfZ7OBn30wul7jZfCxf29NBORjr0oeARlb7hAlue6GX5anXHVPm1YWkDdf8PID07MQkIZ0FZ9MERAfjmlyQUA0LcefRJcHUAREt5lnCgSkNk0ERPc2BEQzQkA0IwREM4pNESMgYVH6FZ9ebpf9+cV2xMJ5REBiG6OZ1yMgzaQ98l0IiGaOgGhGREA0IyIgmhEREM2ICIhmVJ5+RQSkBiivX7XGRUA+3qIIyEcjIiCVAhJ2wWINSJKx2iZpEJDmNwQCopl73aqZgqVZMwVLM2IKlmbEFCzNiClYmhFTsDSjRk3B+sTPWjMF629emXwKVlhUHj6jO2CFKVh3rFh9YKtddsHS/adtUiAgzW8KBEQzR0A0IyIgmhEREM2ICIhmRAREMyICohh5/ao1LgLSLgJSuQ3vKNVv/d3lZekIazou+cAXbPPTW8t/OvWkJQe23B1Nyzkgqi+2yd8RkOY3BAKimXvdqomAaNZEQDQjIiCaEREQzYgIiGZEBEQzalQE5JM/e1R/eQNS/PUrj29Aro3Pkl2wIhkjIJEA67gcAdHQEBDNiAiIZkQERDMiAqIZEQHRjIiAKEZev2qNi4B86pbWCMhHzkNAVO/J5N8RkImb9cEtDtsljpP97j1z7Jt3bY7uT2zDqxESAdGMiIBoRkRANCMiIJoRERDNiAiIZtSoCAgCotlXpiACko5XVWoEZGKAF1//oUi6419+6dJL7Z/uGZm/GPNBQDQ9BEQzQkA0IwREM0JANCMERDNCQDSjRgnI3/68NRGQD7+CCIhu9QymQEC0gJw4b7Fry79m8evtuyt6ovNEQDRCBEQzQkA0IwREM0JANCMERDNCQDSjRgnIp1skIB9CQHSjZzEFAqIF5NoLP+3a9KwB0Ti9ZssiIJo1AqIZISCaEQKiGSEgmhECohkhIJpRM1IwBSuSMgKCgJSGvR73zbwe1LxKhIDoGwQCohl59Wv9TclScBK65sRJ6JoRJ6FrRlPpJPTP3NqaKVhXnMsULN0TM5gCAUFAEBA9sF9zwnxbfNgMnTBBikKuw3IOJwazC5aGzS5YmhG7YGlG7IKlGbELlmLk9VqtcbtgffbWx1QlGvL3y889riH5NjpTIiCRhBEQBAQB0YMIAdGMPFMUSz4/1giIbhUERDNCQDQjBEQx8rmnhW9p1BQsBES14cF/R0DS8apKjYAgIAiIHkQIiGbkmQIBqU2TKVi6tzEFSzNiCpZmNJWmYP1/v2hNBOSDf0AERPfEDKZAQBAQBEQPbAREM/JMgYAgILH9CQFJQLBYNDOvN/MdZg5TS1mErtutURGQz7VIQD6AgOhGz2IKBAQBQUD0yEZANCPPFAgIAhLbnxCQBAQREAlpKkVAEBDZHQ5KwBSsdLyYgpWQ1zP9vXbpTz5fTu29De/dG/rsyjueSFiSiZN1FfKWDyuRIz+lcL3TTljhXZrHjkFe7+Q8FnsHPH/4/AW2+LDpkaRHLu/K53wWoXsuZrf4fhTq5vECNOQTBMSjS+ZyYWZ6fN2Gnd4Sz5yWt858LrofdXfmrZCPr1coyO3rttqGvoHoMs3tLti0sFiiTT67B/fZkNNaonxHh0vfvubqf7P7V66NJ1ToMsvl4/MpFd3u/SOAHPpkvmDWEd+PjjnzVJu9cF40o/X3PWQ7erZF5+MXaTIbuPXDDuWpzuLzv2zNFKzLXs4UrIY0aLtnSgRk/BZa3bPOPnH78vJjx784nwPy2ye321d/7SEgOR8B8XraNzOvaIrHw2f5gdjpofj8kxbYksN9dsGals9ZITwZR35yXgJSZuTw4ODEuiwgRZ9Hfq+dwnxKY+a1dmP9lt22Y2BfZA8aufz+Z3bY1oGh6Lxmd+ddBCSMDI/+uGuvn4CU4TgMkW9f9a/2wEqHhzxPAYlu+YoMPO4juYKLXD33jNNs1sIF0bXbsHK17dqyNTofGy6/6nP5DNz+cZd8xmbyv1skIP8LAWlIe7Z9pggIAuL0krAMEgHRQx4B0YwQkNqMEBDdhxAQzchCBMTzg4BMTHMyCMhtDtG5OvrT/zpnSR1Xtf4SpmBFtgECgoAgIHoQEQHRjEIKj+ePkA8CgoAk63ETp0JAEhBEQCSkqRQB+UKLBOT9CIjsh5lMgIAgIAiIHtoIiGaEgGhGTMHSjJiCpRkZU7AkJKZgSURVCb7YIgF5HwKSvrGycAUCgoAgIHokIyCaEQKiGSEgmhECohkhIJoRAqIZjU3xpdtbMwXrr85mClb61srAFQgIAoKA6IGMgGhGCIhmhIBoRgiIZoSAaEYIiGaEgKRnVHkFa0Di+BkCgoAgIHoQISCaEQKiGSEgmhECohkhIJoRAqIZjU3xdy2KgLyXCEj6xsrCFQiIFpCT5/mGB8875gK75jdPR3efrgLb8CqIbMOrCJl5PfAhIJo1AqIZefVHFqFr1uyCpRlNpUXoX/5Va6Zgvedlvs9YulV9UhABieSIgGgBcdj+/aAv+Ysz/9K+eWdPZMuZISAaIQKiGXk98CEgmjUCohl59UcERLNGQDSjqSUg6zSQBqR4z8sWNyDXxmeJgEQyRkBqC8jRcxbZ206/IJLywZfvGphjX/+vDdF5IiAaIQKiGXk98CEgmjUCohl59UcERLNGQDSjqSQgX/mP1gjIpS9FQHRPzGAKBKS2gJw4b7F97Jxlri3PSegaJyeha0achJ6AUYfPqdqchK5ZcxK6ZsRJ6JqRcRK6hNSok9D/vkUC8pcIiGzzTCZAQKqbtX9oj922/h779n03GAKSrttzErrmxUnomhEHEdZmxEnoug8RAdGMiIBoRlMpAoKA6P5QmYIpWOl4VaVGQKoBru5ZZ5+4fbkNm9lJREBS9TAERONCQDQjBAQB0b2kdgoEJAFBTkKXkKaSgPz//9maKVjv/n2mYMmOmMUECAgCwja8emSzDa9mFFJ0OO3YgIAgIMl63MSpEJAEBBEQCWkqCcg/tEhA/gIBkf0wkwkQEAQEAdFDGwHRjBAQzYhF6JoRi9A1I84B0Yw4B0QzGpviH/7z8fQXOVzxF79/rEMuzc+CKViRzBEQBAQB0YMIAdGMEBDNCAHRjBAQzQgB0YwQEM1obIqv/ro1AvLnL0FA0rdWBq5AQBAQBEQPZAREM0JANCMERDNCQDQjBEQzQkA0o7EpvtYiAXkXApK+sbJwBQLSfAFZsWG7fe3XT0R3n06nk9DDlrdhwb3HZ3jYacNSpzJ5nQPyupMW2pLDZ3ggskKuw3IOiyUKuZzLmguPsozKh9MSEAtS7LEVc85pG96Z0/JWyMfXrrvTJ58tO/fanqGSS39c3bPTtg4MRuc1e1q+fDhq7CcMjQ6LZ717cJ8NFZ3ubPHFKWP51vIf2wMrH4tFZNbZZdaRj89nuOQz0DzfPuQ7zTri+9GRLzzVZi2YH83oyVUP2q6ebdH5jNzQfPrjwG0fjS/PODl87b9aEwF51+8RAWlIg7Z7pghI8wXk7o19dtUdT0Z3jYKTgJQcQyAeD40BjJPGlBl7PMxccNICO37ezOg2Cxl44Q4ikw9P2A6fDgch8pK9cvv7/E6bl4Acdfh0mz29M5q05/a50YXZn8HDW3da756h6OwO6cpbVz7+wXH/oI0uz+7Bou3zGmzRpRnJ4JvX3Gj3r1obn1uhyyznICDFottDcbjTurwRyRfMcvH96OgzTrHZC+ZFs16/8iHbuaU3Oh+3m5qZDdz6ofjyjJPD11skIH+GgDSkPds+UwQEAUFA9DBFQDQjBEQzQkA0IwQkASMEREJCQCSiqgRXtkhALkFA0jdWFq5AQBAQBESPZAREM0JANCMERDNCQBIwQkAkJAREIqoWkDtaMwXrkhczBSt9a2XgCgQEAUFA9EBGQDQjBEQzQkA0IwQkASMEREJCQCSiqgRX3bE+/UUOV7zzxcc45NL8LNiGN5I5AoKAICB6ECEgmhECohkhIJoRApKAEQIiISEgElFVguUtEpBlCEj6xsrCFQgIAoKA6JGMgGhGCIhmhIBoRghIAkYIiISEgEhE1QLym9ZEQJb9LhGQ9K2VgSsQkNoCcuyc59jbznida0vv3jPHrv7Npug82QUrGUJ2wdKc2AWrNiN2wdJ9iF2wNCN2wdKMjF2wJKRG7YJ1dYsE5B0IiGzzTCZAQGoLiM8mpwd/x18uvdS+u2JLdH9CQJIhREA0JwQEAdG9pHYKBEQTREA0IwREM2qUgFxzZ2siIH/6O0RAdKtnMAUCMrGATO/stmPmPMe91V+9+PX27bueic4XAUmGEAHRnBAQBET3EgQklhECkoAgERAJCQGRiJqSgEXokZgRkIkF5MR5i+1j5yyLJFx9OQcRaqQcRKgZcRChZsRBhJoRBxFqRl4pEJAEJBEQCalRAvKNFkVA3k4ERLZ5JhO0k4Bs3rXFegd2RnFet32TfXfljXbK/CX2kbPfUVdeq3vW2SduX24ISHp8XidYIyCaPQKiGSEgmhECohl5pUBAEpBEQCSkRgnIN+96Qn53IxL8z7OObkS2Dc+TCEgk4nYSkKvu/qHduu6uyBqZ2fCwnbLgOAQkIUl2wdKg2AVLM2IXLM2IXbA0o3IKh8V3uweLtq80nPALm5MMAUnAGQGRkBAQiagpCRCQSMztKCCLDplnc7tn1VWz/qEBW7/9KTt1ARGQpAAREE0KAdGMEBDNCAHRjBCQBIzYhldCYhteiagqwbdaFAF5GxGQ9I2VhSvaUUDeeeYb7dzFZ9WF9/6etfap26+OmoL1y8dX2NdXXM8UrDpagClYGprXS1mmYGnWTMHSjJiCpRl5pSACkoAkERAJqVEREAREoj8oARGQdLyqUiMg1QC/v/oW+z+rf25Hzl5oX3jVeyMJV1/OInSNlDUgmhECohkhIJoRAqIZeaVAQBKQREAkpEYJyLd/25o1IG99EWtAZKNnMQECMr6AXP/grTZr2gxb/rqPuDc7AqKRIiCaEQKiGSEgmhECohl5pUBAEpBEQCSkxgnIk/K7G5HgrS86qhHZNjxPIiCRiBGQaoDXrf65/eDBn9vsrpl21QUfjiQ8fgRk+W/iB3pnPme58IQV+QnTpoa95k6FPQAiyxMuHylOfE4e51uEklxw0kI77vAZDjXzyyIIiEf9ch0dLot+y2tAnKrn1R0P6S5YVyEXXappnTnLO4y1rTsHbWCoGF0ezwwe3rrLevcMRmc5qytvXfl41l6dKCxCH3Ka7+i1vumaq2+0+1etjWZtXmtASsXRm218mcJ9xKPxnATkmBeeYrMXzIuu1/qVD9uOnm3R+Yz8nMX/poVcGiUg3/lt/HNJPaD+XwSkHmyT/xoEpPkCcs+mHXbNnRuiO08h7/NQ5LkIPbpS+zMoeT2Bhp9Eh6fi1524wI47fKZL9bzeyo88FMVXLpczK0tI7Mfnt7VcCq+sjjp8us2e3hlbM3tiS7/t3LMvOh/Hbu3yrBcq5BUBCQIyzUH2oiHvz8BTQMKYdfBPu2r5jbZq1br4KhY6zXL5+HyKzjLscR/JFczCTSnys/jMU2zOovmRuZitu/ch6+vpjc7H765mNnDL5Q7lqc4CAUmHlQhIOl5VqREQBAQB0YMIAdGM3KwBAUkA2+dlMwKSDDUCkoyTy9seBETCbpSAfLdFEZD/QQREtnkmEyAgCAgCooc2AqIZISCaEREQzcgrBRGQBCSJgEhIUykC8o8rWjMF678vZQ2I7IhZTICAICAIiB7ZCIhmhIBoRgiIZuSVAgFJQBIBkZAQEIkoOgECEo1wcmaAgCAgCIgeuwiIZoSAaEYIiGbklQIBSUASAZGQppKA/NOK+LWpEug4Cf5k6ZH1XNbya1gDEtkECAgCgoDoQYSAaEYIiGaEgGhGXikQkAQkERAJCQGRiKITICDRCCdnBggIAoKA6LGLgGhGCIhmhIBoRl4pEJAEJBEQCWkqCcj37m5NBOT/OZMIiOyIWUyAgNQWkFcd/3vuzX70rNPtO799OjpftuFNhtBjZ0gEJAFrr71z2QUrAWx2wVKQEBBFyMwQEAkJAZGIohMgINEIJ2cGCEhtAdkxuNu9YS990Xvse/dsjc4XAUmGEAGpzYlzQHQ/4hwQzYhzQDQjzgHRjIxteCWkRm3D+88tioC8hQiIbPNMJkBAkgnIhSed69b+x8x+IREQQZODCHV34yBCzYiDCDUjDiLUjDgHRDMqp/B424OASNiNE5CN8rsbkeAtZz63Edk2PE8WoUciRkCSCci1F346kvSzl3MSukaJgGhGCIhmhIBoRgiIZoSAaEYIiGLkN0e1UQJy7d2tEZCLERDVebL5dwQEAWERuh7brAHRjFiErhmxCF0z8krBGpAEJFkDIiFNpTUg197TIgF5IREQ2RGzmAABQUAQED2yERDNCAHRjBAQzcgrBQKSgCQCIiFNJQH5lxYJyH9DQGQ/zGQCBAQBQUD00EZANCMERDNCQDQjrxQISAKSCIiEhIBIRNEJEJBohJMzAwQEAUFA9NhFQDQjBEQzQkA0I68UCEgCkgiIhDSVBOS6ezZJHo1IcNELj2hEtg3Pk0XokYgREAQEAdGDCAHRjBAQzQgB0Yy8UiAgCVOiLasAACAASURBVEgiIBLSlBKQe1skIGcgILIjZjEBAjKxgOQ7cravVCrvLMguWM3t/eyCpXmzC5ZmxC5YmhG7YGlG7IKlGZVTsA1vDVDtvwvW91skIG9GQBIOsIwlQ0AmFpDKv7gKyMY+u/rODdE9qbOQs5zDDb/8sO90b3TKxoa9XhV3mHVYeFSP+5x/4nxbctiMuEz2X92Zy1kuPNFEfkZyiM8nnwvPDfH52PCwVzeyQ7oL1hkKFvmZ1pmzvAPrrTsHbWCoGFmakSPePcZIubUcmixks2bbLuvdMxRdt3AQYVfep1Ae/dEzAhKGh0fNrr76Rlu1cm00ayt0mYUTRGM/pZKFcevy8YLkdQ7I0lNtzsL50VWbShGQ/9MiAfljBCS6n07KDBCQ6mb75eMr7OsrrrcXzF9iD/SM/Fh4C8hyBwFpx5PQnX7K/ASk/FIu/tHh1SfMs8VOAtJdyFuQkHb5eJ2E7hm1OvrwGTZnRmc0Iq8TzIsln57t9axX9o/4bl3m+0jvLtu+N15AZnbmrMtBGr0ie54C4sX7muU32qpVHgLSaZbLR48P85yCNdJw8WVyFJC5i+IFZO29D1lfT298vRwHf6POAUFA0jUza0DS8apKjYBUA/z1hpX2ld9cay858jQL/42AJO9kPo9p4aWcV04IiGo9BEQRMkNANCMERDNCQDQjQ0AkpEYJyPX3tWYNyIWnswZENnoWEyAgCIjnInQvbUBAmne3QUA0awREM0JANCMERDNCQDSjxgnIZv3lDUhx4enPaUCujc+SCEgkYwQEAUFA9CBiCpZmxBQszcgxsOcy2yWUmClYut1CCo/ZRQhIAtZEQCSkRgnID+5rjYC8CQGRbZ7JBAgIAoKA6KGNgGhGCIhmhIBoRqwB0YyswBoQRWnx0lONNSCK0sF/R0DS8SICko5XVWoEBAFBQPQgQkA0IwREM0JANCMERDNCQDQjBEQzGpvihy2KgLyRCEj6xsrCFQgIAoKA6JGMgGhGCIhmhIBoRgiIZoSAaEYIiGZUJSArWzMF642nsQYkfWtl4AoEJJmAeDb1pUsvtX+8Z2t0lmzDmwwh2/DW5sQidN2PWISuGbEIXTNiDYhmxCJ0zahRa0D+deVT+ssbkOINpy1qQK6Nz5IpWJGMERAEhAiIHkREQDQjIiCaEREQzYgIiGZEBEQzIgKiGY1NgYCkY4aApONVlRoBqS0gl/7uxZGEqy+/Z2OfcRBhbaxsw+ve7SbMkAiIZk0ERDMiAqIZEQHRjIiAaEaNioD8qEURkNcTAdGNnsUUCAgCQgREj2wiIJoRERDNiAiIZkQERDMiAqIZEQHRjMam+NGq1kzBev2pTMFK31oZuAIBQUAQED2QERDNCAHRjBAQzQgB0YwQEM0IAdGMxqb4cYsE5I8QkPSNlYUrEJBnW/HHa35le/fttSd3PG13bnzAXnLkacYUrHS9nJPQNa/uQt46w7ynNvkwBUs3BFOwNCOmYGlGTMHSjJiCpRk1agrWj1c9rb+8ASn+6NSFDci18VmyBiSSMQLyLMB33PBJ2zU4sP8fhu0lR56OgKTsXwiIBoaAaEZHHz7D5szo1AlFiie29NvOPfui80FANEIERDNCQDQjBEQzapSA3NAiAbkAAdGNnsUUCEi1gJz5nOfb3ZsfJgJSR4dHQDQ0BEQzQkA0o44wV8nh80jvLtu+dyg6JwREI0RANCMERDNqlID8W4sE5HUIiG70LKZAQJ5t1WU3fMp2DvbbsqVvtOUrfoiA1NHhERANDQHRjBAQzQgBqc1o92DRhkpedyQzD94IiO7XCIhm1DABub81U7Bed8r4U7B+cNPt9viTT9n7LrnoICh33fuQve29ny3/26knLbGvffav7NA5sw6kCdf99ee+Uf7fr33Fi+3jl73dpnd3abApUzAFKyWwsckRkMkrIJ2FnOUdfhXLi4edfqdDNi5Zea3W7egwjxfFrz5hvh172PTI0TZy+fRC3goOa0BC03vULZfzYTR9WqiXR4nMujvzVsjH57Vt16DtGSpFt1vYqMGlX0eX5NkM4umM5BUiIL0OEZBDuvLW5dD+4eBQj7rtKgtIfNsHRrlQJodCLV9+o61auTa+FxS6zBzuIRb4ON5rXSDlC2Yd8WvkFi89xeYumh/Neu29D1tfT290Pm6czWzglg/Gl2ecHG5skYC8doyAVArGn77l/IME5LH1m+zDn1luf3vFMjvumCMsyMYdK1YfkIxw7ReuvO6AlHzxyuvKNR0rMR4AEZBIighICwRk0w675s4NkS1nVhYQhx98z12w/F44+j3ueZyE/qrnzbPFh82IbrOQwbR8zkVAwsN+kAePj8fD1XMP7bZZ0+PXbYT6rN+y23YMxK/dCI8xHu1fdHpI89rhyaPNR/NYs22nyxSsWV0F68rHPziGcnn06h17h9wiIJ35Dpd77devvNHuW7kuvvkKnWa5fHw+pWJ8HgdyCG9EHFouV3CRq8VnvsDmLpoXXb+1962xvp7t0fk4vZorl2Pg3y9zKE91Fu0iIKMlGy8CMvbfxgpJEI5jj1pkbzr/7HI2Y4XEExwCEkkTAUFAEBA9iBAQzQgB0YwQEM0IAUnACAGRkBAQiagqwU33P5P+Iocrzj9lwbi5jCcgYyMavX077V2Xf8nef8lFdsqJS+yjn/+GvXjpyQcEZKygOBT3WeUe9jwy2bNkkyQvBAQBQUD0YEVANCMERDNCQDQjBCQBIwREQkJAJKJqAXmgRQLygnQCUhnhGE9A3nzBy+2sM04s1w8BSd8PmnYFAoKAICB6uCEgmhECohkhIJoRApKAEQIiISEgElFVgp+0SED+MKWAhIKPrukgApK+ndvmCgQEAUFA9HBEQDQjBEQzQkA0IwQkASMEREJCQCSiSSkgrAFJ365tewUCgoAgIHp4IiCaEQKiGSEgmhECkoARAiIhISASUVWCm1sUAXlNiggIu2Clb9e2vQIBQUAQED08ERDNCAHRjBAQzQgBScAIAZGQEBCJaBwB6Ul/kcMVr3nBwdslV27DO5r9t/7u8gPrOjgHxAF6O2SBgGgBWd2zzlZvcdg6cf9XHT3rdPvOb+MP/GEb3mQjyGMbVgREs0ZANCMERDNCQBIwQkAkJAREIqpK8NPVrRGQV58cf15L+trGX8E2vJEMERAtIN9ffYtd/+CtkaSfvfzSF73HvnfP1uj8EJBkCBEQzclj+34EJAFnp3NJ9DclT8E5IJoV54BoRuXTWzxuJJwDImE36hwQBESiPygBApKOV1VqBCS5gJw4b7G9YP7iSOJmx8x+IREQSZGDCBUiDiJUhMw4iFAzQkA0IwREM0JAFCO/37RGCci/tygC8ioiIKrzZPPvCEhyAbnwpHPtzSefF90R7uEk9AQM/W7WREA0bo8Xl0RAEnAmAqIhcRK6ZsQULMmIKVgSUVWCn7VIQF6JgKRvrCxcgYAgICxC1yOZNSCaEQKiGbEGRDMKKQKn2M+OvUM2VPJ5kUEEJElrMAWrNiWfvhi+o1ERkJ892Jo1IK88iTUgSUZY5tIgIAgIAqKHNQKiGSEgmhECohkhIAkYEQGRkIiASERVCW55cEv6ixyuOO+keQ65ND8L1oBEMkdAEBAERA8iBEQzQkA0IwREM0JAEjBCQCQkBEQiQkDSIzroCgQkFuBla2zj5UdF5uJz+VV3/9BuXXeXvfPMN9q5i8+qK9P7e9bap26/2k6Zv8Q+cvY7UuWx7IZP2c7Bflu29I22fMUP7SVHnmaX/u7FNroLFmtANE6nGQ9m5heuZg2IbjfWgNRmVBz26Y8IiO6LCEgCRgiIhISASERVCX7eogjIK4iApG+sLFxBBIQICBEQPZKJgGhGREA0IwREM0JAEjBCQCQkBEQiqhaQh1ozBesVJzIFK31rZeAKBKS2gJy+6AT7/uqf25b+XiMCojs8ERDNaFo+Z4Vc2CA27sM2vJof2/BqRmzDqxmxCF0zYhtexcgnihq+pVGL0G9tkYCci4CozpPNvyMgtQXkObPmlQ8hDLeOP/bahndjn11954boDtVVyFkuF79fTFkanO6Nw8PDXllF8ym/SY3HUy7Hq0+Yb8ceNsOlTN1OApLPdZiDx9jMaQXryseD6urMW5Aij0/Pzr02MFiMzioUp8NhT6UwBctjFlbojx7l8ezbj2zbab17h6JZz+oK/SherH16kNnOvftssFSKrlfIoJDvsLzDzeTrV91oK+9bG18mrwjIcMlcOvaBDunQevmCWUd8P1q89BSbuyj+zfraex+2vp7e+DbzuIHsL8XALR+ML884Odz6UPwByfUU7NwTD6/nspZfwxqQyCZAQCavgHidhF70+Y0ugwwC4vHxyWVkO0+H5wZ71QnzbbGXgBRy1ulgDiGLnEPljjxsus2e3hndbBu2DdiuPfui8wkZFP1CaS7tv6/oI9ZeERlfAdll2x0E5JCuvIuAeDHq2ztkg0WfO0khjDUHub7yyn+zlSvbSEBK8ZL/7IBvs214ywISv73r2nsesr6ebfH3NaffxlCQgZ9fEV+ecXL4RYsE5A8QkIa0Z9tnioAgIAiIHqYIiGaEgGhGXg/XCIhmjYBoRoaASEgIiEQUnQABiUY4OTNAQBAQBESPXQREM0JANCMEpHmMEBDNGgHRjKaSgPzy4dZMwXr585mCpXtiBlMgIAgIAqIHNgKiGSEgmhEC0jxGCIhmjYBoRgiIZhSbAgGJJThJr0dAEBAERA9eBEQzQkA0IwSkeYwQEM0aAdGMppKA3Paww1oXjbQqxTnPP6yOq1p/CYvQI9sAAUFAEBA9iBAQzQgB0YwQkOYxQkA0awREM0JANKPYFAhILMFJej0CgoAgIHrwIiCaEQKiGSEgzWOEgGjWCIhmNJUE5PY1rYmAnH0CERDdEzOYAgFJLiAOO5yXv+zSpZfaP90Tv9iLbXj1gGQbXs2IbXg1I7bh1YzYhlczYhtezchyhbDncYKEtZOMnAPCNrxpQP6qRQLyMgQkTTNlJy0CgoAQAdHjmQiIZkQERDMiAtI8RkRANGsiIJrRVIqAICC6P1SmYA1IOl5VqaeigAwWh+zRbdUnkf/vX3/X+vftsWVL32jLV/zQXnLkaTZ6EvqFTqeghwa4x+kkdCIguvMTAdGMiIBoRkRANCMiIJoRERDNiAiIZtSogwj/o0URkJcSAdGNnsUUU1FAntq91d578xcmbE4EpP6ezknoml03J6FLSJyELhG5nPAevuWRbZyErmhzEroiFP7OSeg1KU2Ck9D/Y01vkoZ2T/PSEw51z7MZGRIBiaQ8lQWkM1ew4w476gDBNVvXW3G4ZO9c+gZbvuJf7bmzF9isrhn24NbH7Y9PPNfefPJ5kbRHLicCojEO6ySJUhAB0ZiIgGhGREA0IyIgmhEREM2ICIhm1KgIyH8+0hoB+f3nISC61TOYYioKyNO7t9p7bv6CLZx5uH35Ne8/0KrLbviU7Rzst2X7BWT0D+Fh+I+ZgpWo9xMB0ZiIgGhGREA0ow6nXTGIgGjWREA0IyIggtEkiIAgIEn6+bNpiICk41WVGgGpFpCPnfNOW/XMo2VWD/SsJQKSoo8hIBoWAqIZISCaEQJSmxGL0HUfYhG6ZjSVFqH/ukURkJcQAdEdMYspEJBqAVn+uo/YrGkzys39/dW32PUP3mosQk/W+xEQzQkB0YwQEM0IAUFAdC8RKUrF6Cwq3geby8IktuGVbdKoKVgIiER/UAIiIOl4EQExMzUFCwGpv1MhIJodAqIZISCaEQKCgOhegoDEMppKEZD/enR7LK66rv+94+fWdV2rL0JAIluACEgLIiCb+uyaO6u3AU7blF2FnOVy8RPBS8NmbtNTQ17mtYQ8LZHq9GU68YjsVc+bb8ceNhIVi/1053OWd2i3OdM7rasz/sCuaYWcFRzK07t7yPYMlWLxlK8PAuIhs14P6cXhUJ74quWcCuSUTblCa7fvtu17h6Ird0hn3jrz8f3R66yUkSlYPv2xM99hHm135fKb7L6V66JZW6HTLJePz6dU8rv5e3XKfKdZR3w/WvKiF9jchYdHM3rs3jXW1+OwONvjBrK/NgM/+0B0vcbLAAFJhxUBScerKjUC0nwBuW/zDvvmbzdGtpxZwelBNgiI18fjobFcFscyeQjIeccfbsce6iMgXTkfAVm8YKbNndEZ3XRPbu23nXv2Recz4noOtmdmQ8WSywN/uUwORSo5Pjx0eBTIpbVGMlm/Y7ftHIwXkOmFvHU6nGDtJSBBqrwEpCvvI+lfveandt+q9fGt5yUgxTAFy/Fm69G3y1Ow4uXq+DNPtEMXxQvII/c9att7+uLbzPEeMvCT98aXZ5wcEJB0WBGQdLwQkDaYgoWAJOi0jr+JHs/ECEiCNkNAEkFCQGpjQkASdCMEREJCQCSiqgR3tGgK1ouZgpW+sbJwBREQIiBEQPRIRkA0IyIgCRl5vCVO9lWJUhEB0ZiIgGhG5RQefZsIiITdqAgIAiLRH5SACEg6XkRAiIBU9QEERA8iBEQzQkASMvJ4SEv2VYlSISAaEwKiGSEggtEkmIJ1x2OtWYT+4uNYhJ5whGUrGREQIiAIiB7TCIhmhIAkZISA1ATFFKwE/YgpWBISU7AkoqoEv2mRgPwuApK+sbJwBQKCgCAgeiQjIJoRApKQEQKCgCTrKhOnQkAkQQREIkJA0iM66AqmYMUCvGyNbbz8qMhcfC6/6u4f2q3r7rJ3nvlGO3fxWXVlen/PWvvU7VfbKfOX2EfOfse4ebT6HBAWoSdoWhahS0jsgiURlRN4PO+zC5ZmzS5YmhG7YGlGxhoQCalRa0CIgEj0CEg6RLVTEwFJFgE555gz7eXHLnVBPzA4176z4qnovNiGNyFCh21YiYAkY802vJoTu2DVZsQULN2H3M4BYRteCXsqbcN751qH7YYl0eoEv7NkTh1Xtf4SIiCRbYCAJBOQSMwHXf6es95j/3LftugsEZCECBGQmqA4B0T3IyIgmhEREM2ICIhmRAREM2pUBAQB0ewrUyAg6XhVpUZAagvIbevvtl88viKS8sGXn7/kDfa9e7dE54mAJESIgCAgCbvKRMkQEA0QAdGMEBDNCAHRjBAQzagZKRCQSMoISG0BicQ77uWsAUlAlTUgEhJrQCSicgLWgNTmxDa8uh+xDa9m5DbYWAMiYTdKQO5q0RSss5iCJds8kwkQEASEXbD00GYNiGZUftj3OHbezIaKJfPaNh8BQUCS9d6JUyEgCQl6DDYERMJGQCSipiQgAhKJGQFBQBAQPYgQEM0IAUnIyOMhLdlXJUpFBERjQkA0IyIggpHXGxUza5iArGvNIvSzFrMIPeEIy1YyBAQBQUD0mEZANCMEJCEjBKQmKHbBStCPOAdEQuIcEImoKsFdCEgqaERAUuGqToyAICAIiB5ECIhmhIAkZISAICDJusrEqRAQSRABkYiqEvy2RQLyIiIg6RsrC1cgIAgIAqJHMgKiGSEgCRkhIAhIsq6CgERwQkDSw0NA0jEjApKOV1VqBAQBQUD0IEJANCMEJCEjBAQBSdZVEJAITghIengISDpmCEg6XpkXkAd61tonb7/aFs89wv7Haa8dl07vnj77+zuvs4UzD7cvv6b5AnLvph12zV0bIlvOrKuQs1wu/pCLsoA4bXs77LTQrlwchzJ5Peude/zhdvTc7ug2CxksnNVtM7oK0Xl1d+YsnAUT++ndNWh7hoqx2ZT3wPL6lErDHs3v04nMrDg87LIrV+iPLjuF+aG2ddt3W9/gUHTTzezMW6fD/SjX4ULIdgzus8Giw03EzLryHRbKFfu5cvlNtnLVuthszO0k9FLRXDp2+e1DPJ8ymHynWUf8fW3J0hfY3EXzolk/du8j1tfTG53PCGef/jjwsw/El2ecHFY8vqMh+apMlx47WyVpy78jIJHNkrUIyKiAKCzh8WbRzHktEZB7NvbZ8jt9BMTjAbRY9HrYC79lPjdYn1xGHok7HH4YX7Zkrh3pJCBnHnmoLZwdLzNrn9ltff3xD47hmdGDkVPTq6Gb6u9ePTtsC+wRKQysPR5kR573fB741mzbZb174vvRIV258kuR2I/XIvTdQ0Xb59FoFtrMp92u+fq/2qqVj8YiMit0meXy8fkEAXH9OPTJ8ja88f3o6BedYXMWLYiu3fp7V9uOnm3R+dhwKT6P/TkM/PJv3PKqzAgBSYcVAUnHqyp11gRk3fZN9u37bqxJZag4ZI/2PomA7KeEgOhBhIBoRgiIZuT1IIuAaNYIiGZkCIiEhIBIRNEJiIBEI5ycGWRNQJK0wtO7t9p7bv5Cy6ZgEQHRrUQERDMiAqIZEQHRjIiAaEZe4kgERLM2IiASUqMiIHe3aArWmUzBkm2eyQQISPPXgCAgeighIJoRAqIZISCaEQKiGSEgmtFICqZgTUhqEkzBunt9a9aAnHkMa0CSjrBMpUNAEBCmYOkhzRQszYgpWJqR14Ns+VGPNSA1gTMFS/dHpmBpRlNpChYCovtDZQrWgKTjVZUaAUFAEBA9iBAQzQgB0YwQkASMnOQKAdGsERDNaCoJyD0tioC8kAiI7ohZTIGAICAIiB7ZCIhmhIBoRghIAkYIiIbELliSEbtgSURVCRCQdMyIgKTjRQTEzCZahP6OGz5puwYH7ITDjracxxaHE7TNq4/9I/vu3VsiW27kHBC24a2NkW14dTdjG17NiG14NSO24dWMWISuGbEIXTNq1CJ0BESzZwpWOkY1U4cIyIuPmuaYY/1Zbd61xQ6Z/h92+cteaOcuPqv+jMSVSkAa9sX7M3730nfb9+6JP9gIAdEthYBoRgiIZoSAaEYIiGaEgGhGCIhm1CgBufeJnfrLG5DijKNnNSDXxmdJBCSScRCQdvo8b+Ft9jcvf35LBOThreutWPI7LGgirv1759o37toUjR0B0QgREM0IAdGMEBDNCAHRjBAQzQgB0YwQEM2oGSkQkEjK19/TF5mD3+U3PPIre2jLHfbu33lVSwTErya1c2IbXk2abXg1I7bh1YzYhlczYhtezchr7Q4ColkjIJoRAqIZNSMFAhJJedPWgcgc/C6/6u4f2q3r7rJ3nvlGBCQBViIgGhIREM2ICIhmRAREMyICohkhIJoRAqIZNUpA7mvRFKzTmYKlGz2LKRCQZ3fBalb7EgHRpImAaEZEQDQjIiCaEREQzYgIiGY0koKDCCckNQkOIkRAkvbz/b19eLgdN39MV4lWpkZAEBC24dUjkG14NaN2vBMjILrdEBDNCAHRjBAQwWgyCMiTrVmEfvpRLEJPOsIylQ4BQUAQED2kERDNCAHRjLweZMvvmjkJvSZwDiLU/ZGDCDWjqXQQ4coWCchpCIjuiFlMgYAgIAiIHtkIiGaEgGhGCEgCRk5yhYBo1giIZoSAaEaxKRCQWIKT9HoEpAUCsmmHXXPnhuge01nIWc7hLWhpeNj8Hh59Vm+4lacjzEqOn5f8hlMX2PHzZka3WcjgkGmF8iGSsZ/eXUO2Z7AYm035TXo8ITOflt9fHafMwgO/R+WKpWEruZTJZ1JYGPc+rWb2SO8u690zFN2P5nTnrSsf36/LmB1uAP1DJRvyaTTryndYvtyZ4j7Lr77JVq1aF5dJuNrtJPSw7bxLx95fp3hGli+YdcT3o2NfeLLNXjAvmvXjKx+2HT3x53aNFMSH9cAtl0fXa7wMiICkw8ouWOl4VaVGQJovIPdt3mHfWhF/DojXDk+ey6i8ylR0eACJHBoHXX7p2Ytt6VFzXbJc8eQ2e2bn3ui8ZhQK1pmL/6H2+UkcqY7D40c5nyDFHp+uXM7lwdGrPHuLRReRKeR8Xj4Exo9s223b98YLyGHTCza9M74/ejHaPVi0fU7HOs3syrnI1de/80tbuTr+5ZObgBTDCwyfsVYe/Q4vxLx2wVpyymKbO29O9G3ksfvXWd8Wp+MKPPiY2cC/vTu6XuNlsGrDrobkqzI99chDVJK2/DsCEtksCAgCgoDoQYSAaEYIiGbk9XCNgGjWCIhmZAiIhISASETRCRCQaISTMwMEBAFBQPTYRUA0IwREM0JAmscIAdGsERDNCAHRjGJTICCxBCfp9QgIAoKA6MGLgGhGCIhmhIA0jxEColkjIJoRAqIZxaZAQGIJTtLrERAEBAHRgxcB0YwQEM0IAWkeIwREs0ZANKOpJCD3t2gNyCmsAdEdMYspEBAEBAHRIxsB0YwQEM0IAWkeIwREs0ZANKMpJSAbW7MI/ZTnsghd98QMpkBAEBAERA9sBEQzQkA0IwSkeYwQEM0aAdGMEBDNKDYFAhJLcJJePxUF5KndW+29N3/B5nbPskt/5+Kmt9yeoUPtu3c/Ff29XlveIiC6KRAQzQgB0YwQkOYxQkA0awREM5pKAvJAiyIgLyACojtiFlNMZQFpVXteetZf2vdXxu8rjoA0rwURkGSsOQekNicERPcjL0YIiGaNgGhGCIhmFJsCAYklOEmvn4oCsm1gh33lzn9pWYv94ZLX27X3bYv+fgQkGmHiDBCQZKgQEAQkWU+ZOBUCkoCg10nonAMiYSMgElF0AgQkGuHkzGAqCkirW4qT0HULcBK6ZsRJ6JoRJ6FrRpyErhlxErpmxEnoCRi1+UnoqzftTlAJ/yQnHzHTP9Mm5MhJ6JGQEZBIgHVcjoBoaAiIZoSAaEYIiGaEgGhGCIhmhIAkYISAjAsJAUnQd7KYBAFpfqsiIJo5AqIZISCaEQKiGSEgmhECohkhIAkYISAISIJuMmWSICDNb2oERDNHQDQjBEQzQkA0IwREM0JANCMEJAGjNheQB1s0BeskpmAl6DwZTIKANL9RERDNHAHRjBAQzQgB0YwQEM0IAdGMEJAEjBCQcSEhIAn6ThaTICDNb1UERDNHQDQjBEQzQkA0IwREM0JANCMEJAGjdheQza1ZhH7Sc1iEnqD3ZC8Jv1YI3AAAIABJREFUAtL8NkVANHMERDNCQDQjBEQzQkA0IwREM0JAEjBqcwF5qEUCciICkqDzZDAJAtL8Rl23rd9++sjW6C9uz3NAfE6CGLbhaD4hg9nTO62rkIvO68g53XbItEJ0PiGD9dt2W9+efdF5dedzls/F12142Ie2T8uPYCmVmz++DxQ6cpZzKFjJidFQsbS/bnHN35nPWc6jYmbW0z9o/UPFuAKZ2ZzuvE1zGGuDxZJ5vIAYGCrZvmJ8HwpgZnUXXOr2vR/caQ8+sjmadUe+08xh7FupZD6jP+hHh5nHA3Yubx0O+Tz/1GPs0Hlzolk/8sATtm3Ljuh8ynVyuBeFguz4/juiyzNeBghIOqxsw5uOV1VqBCQSYB2Xhx/7DX1767iy+hKPG3XI1em+aMM+v/flijr8BtnzFh5ih87simb95dvW2t0b4k+vLz9WOzEKzx85B0jFYngI8fl49cfiiIFEf0YkPTobKxZ9HtO8WAepzufj5TOQyec6XPpRd1feghjFfob2FV0kbe9Q0bz60ZyZXdbdmY+tmv3stoftiQ290fnkygIaz7pUKkWXpTIDj/Ef8vDI57TTjrQF82dF1+/+1Ztt61aHqUllP3O4GZnZ01e/Obpe7SwgP7jpdvvrz33joCL+6VvOt/ddclH53+669yF723s/W/7vU09aYl/77F/ZoXPi2zotVAQkLbEx6RGQSIB1XI6AJIPmca9GQDRrr4fi8E1eP7BeD44IiG5/BEQzQkA0I6/xj4Bo1o0SkIef6tdf3oAUz18046Bcg4DcsWK1ffyyt9v07oNfID62fpN9+DPL7W+vWGbHHXOE1UrbgKIelCUCEkkYAYkEWMflCEgyaAhIbU5EQHQ/QkA0IwREM0JANCMERDCaBBGQySAgQTgef/KpA9GQsUKSrKf6pEJAIjkiIJEA67gcAUkGDQFBQJL1lIlTISCaIAKiGSEgmhECgoAk6yXVqcaLgFROwaqcfvXFK68rZzA6Hau3b6e96/Iv2fsvucjOOuPEeotQ13UISF3Ynr0IAYkEWMflCEgyaAgIApKspyAgMZwQEE0PAdGMEJDJLyBrWjQF64QxU7AqSY4KxkUXvNzedP7ZFgTk2KMWlf87fBCQZGOzLVMhIM1vFgQkGXMEBAFJ1lMQkBhOCIimh4BoRggIApKsl1SnqiUgIXXltCsiIPVSbsPrEJDmNwoCkow5AoKAJOspCEgMJwRE00NANCMEJAMC8nRrFqGfsPDgRehjSVYKCGtAko3FSZEKAXm2mVb3rLPVW9Y1vN1esfgl1rPLZ/tDr12HfDYH9NtiduTHLL4p2AVLM2QXrCSM2IZXUWIbXkXI2IZXIyrvpOfxu8Y2vAlgj0nySIsE5HkVAjKwZ9Cuv/E2u/C155R3wBo7xYpdsNK3a9tegYA82zTfX32LXf/grQ1vq6+85grbPhC/p7zXG6dyPk619jrjAgHRDcIuWJoRi9A1IyIgmhEREM3I6/cIAdGsG7UNbzsISKh9mGZ1zT/fdADEJz/w9gNrPsI/cg6I7iOTIgUCUi0gJ85bbC+Yv7hh7XfekpcSAUlAlwhIbUgIiO5ECIhmhIBoRgiIZoSACEaTYBvedhGQZL2t9anYBSuyDRCQagG58KRz7c0nnxdJduLLWQOSDC0CgoAk6ykTp0JANEEERDNCQDQjBAQBSdZLqlNVTsGqN49WXIeARFJHQBCQ8g9HZD8avZwpWBqkFyMiIJo1AqIZISCaEQKiGSEgk19AHn1mIFlDO6c6fsF05xybkx0CEskZAUFAEBA9iL5821q7e0OfTpggBQKiIRVLwzpRghQIiIaEgGhGCIhmhIAgIMl6SXUqBKRecpP8OgQEAUFA9CBGQDQjrweQkA8CUpt3VyFn+XwuWaOIVAiIxoiAaEZe459F6Jp1oxahEwHR7CtTEAFJx6sqNQKCgCAgehAhIJqR1wMIAqJZIyCa0d6hopvIIiCat9f4R0A060YJyGMtmoJ1HFOwdKNnMQUCgoAgIHpkIyCakdcDCAKiWSMgmhECohmVSj7nUY1+k8f5HQiIbreGCUhPa9aAHDefNSC61TOYAgF5tlHf/ZPP25b+XmMXrPo7utf6hpGH2frLMXolBxFqhhxEmIQRBxEqShxEqAhxEKEmFO77HESoOCEgilBz/s4UrEjOCMizAC++/kNmw2YXnjx5tuH12L/Ka6FuIOklILOnF2xaIX6O+/SuvBUc5sp/884n7YGndkaOtpHLSwGSwxprr7n7+0oll3bzEMZRwIGRR1/KlSU23mTDmhQPBSkWferV1Zmz0P4enzA+cg6NFwSkELZmi/wMFYvmsQfB3sF9blOw5s6cZt2d8YfH3nL7Glu/YVskIbN8Ie9yWvhweZw53IzKL4x8+mNHrsPC/4n9nH7akTZ//qzYbOyB1Ztty9bd0fmEenl9GiUga1sUAVlCBMSra0yufBCQMQJi1pQIyMa+weiO4vOzMfJ45vTb4fLQGMA8b9EhdtjMrmhGa57aadv7h6LzuemhZ2xdr0942muBdSHX4fLgOFQsefiQaz/yYjTSt+N/+ItB0qJ7kdk+LwEpL0KPr1eoUmfeR2amFXxk30tA9jgKyKEzu6y7sxDdA37+qzX2xMbt0fnk8jnzeKAd9jC9itp4jLVwI/HI5/RTj7QFDgJyfxCQbQ4C4hTZCbg3X3VhdB8aLwMEJB1WIiDpeFWlRkAQEAREDyIERDPy7EcISG3eI2tAEJBalBAQPWYREM0IAdGMYlMQAYklOEmvR0AQEM8HR6doPhGQBPcTIiAaEhEQzYgIiGZEBEQzCik8IhdEQDTrRkVA1m3Zo7+8ASkWz+tuQK6Nz5IISCRjBAQBQUD0ICICohl59iMiIERAdI+rnYIIiCZIBEQzmkoREARE94fKFAhIOl5VqREQBMTzwZEIiB6QXg/XREA0ayIgmhEREM2ICIhmRASkNiOv3b3CtxABSdYfG50KAYkkjIAgIAiIHkREQDQjz37kJWkIiG43BEQzQkA0IwRk8gvI4y2agnUsU7CSDbCspUJAEBDPB0ciIPoO4fVwTQREs0ZANCMERDNCQDQjBAQBSdZLqlMhIPWSm+TXISDVAtLoJv3Ka66wvoH4LR09tgUt/2iwDa9sciIgEpFrP/KSNAREtxsCohkhIJoRApIBAdnamkXoxx7OIvRkIyxjqRAQBAQB0YMaAdGMPPsRAlKbN9vw6v7IInTNiEXomtFUWoS+vkUCcgwCojtiFlMgINUCcu2Fn25oU/cPFY2DCGsj5iBC3QWZgqUZEQHRjIiAaEZEQDQjIiCTPwKCgCTr56OpWISejldVagQEAfF8c80aED0gvd7uIyCaNQKiGSEgmhECohkhIAhIsl5SnYoISL3kJvl1CAgCgoDoQcwULM3Isx95SRoCotsNAdGMEBDNCAGZ/ALyxLa9yRraOdXRh01zzrE52REBieSMgCAgng+ORED0gPR6uCYColkjIJoRAqIZISCaEQKCgCTrJdWpEJB6yU3y6xAQBAQB0YOYCIhm5NmPvCQNAdHthoBoRgiIZoSAICDJegkCUi+nzF2HgCAgng+ORED0LcLr4ZoIiGaNgGhGCIhmhIBoRgjI5BeQJ1s0BesopmAlG2BZS4WAICAIiB7VREA0I89+5CVpCIhuNwREM0JANCMEBAFJ1kuqUyEg9ZKb5NchIAiI54PjrO6ChTMKYj8zuvJWyMXn8/SOPbZ7bzG2OHbzw8/Yut6B6HxCBuHh2uMQSa8IyL5SyUoOBfLsRyUnRrmOUKr4z0ibxUPaVxw2jyhhO54D0t2Zt7zDmB0qFl36497BfbbPo2ObWRCQaZ356I50668esSc2bo/OJ5fPWYdD3x726IwVtfEoUzjR1COf00890hbMnxXN+v4HN9uWrbuj8wl18qhXKMjmqy6MLs94GTzZ25pF6EcdyiL0hjRou2eKgDRfQAaGirZpx1B01yg5/Xh4vSUOFTp+4czyj3XsZ83mndbbH88othyj1/90TY897iQg+4olh0dZs3yuw3K5+Afscnnin63LqLx+YL36dlBYjzJ5tZlXPmUBcWj70GaFvE9eQUBCNCX2M7jPSUCGimXZ9/jMmdHZXgKSy1mHQ/tnWUDOOM1JQFZvti3b+uO7kZNYlQXkysYIyIYWCciRCEh8/5qMOSAgCAgCokcuAqIZISCaEQKiGSEgmlEOAZGQEBCJqCoBApKOGdvwpuNVlRoBQUAQED2IEBDNCAHRjBAQzQgB0YwQEM0IAdGMxqZAQNIxQ0DS8UJAavC6+PoPlf967YWfjqRa+3KmYGm8TMHSjJiCpRkxBUszYgqWZsQULM3I7QWE01QlBCRZm1Wm2tiiKVjPZQpW+sbKwhVEQIiAEAHRI5kIiGbk9gBiZqwBqc2bNSC6P+5lDYiExBoQicjun0JrQDZuH9RAGpDiuXPj1402oFgySyIgElHtBAgIAoKA6EGEgGhGCIhmxBQszYgpWJoRU7A0IyIgmtHYFAhIOmYISDpeVakREAQEAdGDCAHRjBAQzQgB0YwQEM0IAdGMEBDNaGyKTS2KgBxBBCR9Y2XhCgSkWkD++OTzGtq05y1+iTlsK+42TQUB0c2NgGhGCIhmhIBoRgiIZoSAaEYIiGaEgKRnVHkFEZA4foaAVAtIJFJ5+d+/5grbsadTplMJvObJIyCKtBkCohkhIJoRAqIZISCaEQKiGSEgmlGVgPS1Zg3IEXNYA5K+tTJwBQJSLSDzZsy1c445s2Gt+8olLyUCIuiyC5bufuyCpRmxC5ZmxC5YmhG7YGlGbi8g2AVLwm7UQYSbWyQgz0FAZJtnMgECUi0gJ85bbB87Z1nD2ptteDVaBEQzQkA0IwREM0JANCMERDNCQAQjJ7EK34KAJOuPjU7FFKxIwggIAsIULD2ImIKlGbk9gLANr4TNNrwSkbENr2bENrya0VTahpcIiO4PlSkQkHS8qlIjIAgIAqIHEQKiGSEgmhFrQDQj1oBoRqwB0YxYA6IZjU3xVIumYC1iClb6xsrCFQgIAoKA6JGMgGhGCIhmhIBoRgiIZoSAaEYIiGZUJSA7htJf5HDFotnxm/I4FCN1FkRAUiM7+AIEBAFBQPQgQkA0IwREM0JANCMERDNCQDQjBEQzQkDSM6q8AgGJ48c2vBX8Lr7+Q+X/xSL0+jvV8Qtn2qEz47fUYxG6bgMWoWtGLELXjFiErhmxCF0zcnsB4bRYGwFJ1maVqZ5uUQRkIRGQ9I2VhSuIgBABIQKiRzIREM3I7QGERegSNovQJSIWoWtExiJ0DWkqLUJHQHR/IAKSjlHN1AhI8wWkf6hoG50Wew079IU50zttWiG8K47/TO/KW2c+KE3c56m+PbZ7bzEuE8erb17TY49v63fJsTg8bMMODZfPd1iuI571vmIoT3yBRooSX56QSyhPfInM3CIgpZJLmxVLJSs5VMxTQDrzOcvl4tttemfeQjQl9sMULE0wl89Zh8PY9xj3Bz2QOZQp3EI86uYWAXlws23Z6nDvd6pX4N2obXgRED32EJB0jBCQhLyaNQUrCMgGJwFJWLWayU5YdIgd5jBtKnzJI0/tsu398QvZfB4/PeiM5PGTh56xdb0DLhl6PICGgrTbFKyRSJoLIis6QfKK7gVxcPAGKwbZc0DUWciV29/jEwTEI69pnTkXARnaV3SRNN9teLusuzMfjfuW29fYExu3R+dTFhCH9h92GmejFfIQB1cBWTArmrVXBKTDOlzEKlRo05Vviq7XeBk8szP+t7uegi2YxSL0erhN+muIgDzbhAhIfHdGQDRDr998BESzRkA0IwREM5ozAwHRlHwiFwiIJo2AaEbNSMEi9EjKCMgIwP6hPfb2H3+i/N+NXoROBER3Wp/3xPp7kqYgAqJJEQHRjIiAaEZEQDQjIiCaUXkKFhEQDaoiBRGQVLgMAUnHqyo1AjKCZHXPOvvE7csRkMj+RAREAyQCohkxBas2I6Zg6T7EFCzNiClYmtFUmoLV06IpWPOZgqU7YhZTICAHC0iYn33SvMX2sXOWNay5iYBotERANCOmYGlGTMHSjJiCpRkxBUszCilYAzIxp8mwBqRn175kDe2cav4hBeccm5MdEZBIzggIAsIidD2ImIKlGTEFSzNiCpZmxBQszYgpWJoRU7A0o7EpEJB0zBCQdLyqUiMgCAgCogcRAqIZISCaEQKiGSEgmhECohkhIJrR2BRbWhQBmUcEJH1jZeEKBKRaQHw2t5y4d3zlNVfY9oH2CTkiIHokIyCaEQKiGSEgmhECohkhIJoRAqIZISDpGVVeQQQkjp8hIAgIAqIHEQKiGSEgmhECohkhIJoRAqIZISCaEQKSnhECEsfsoKsRkGoB+ZcLP+1IuDorFqFrvCxC14xYhK4ZsQhdM2IRumbEInTNKKRgEfrEnCbDIvStu1uzCP3wme0zIyRZTx9JRQQkDa1x0iIgCAgRED2IiIBoRkRANCMiIJoRERDNiAiIZkQERDMamwIBSccMAUnHqyo1AoKAICB6ECEgmhECohkhIJoRAqIZISCaEQKiGSEg6RlVXoGAxPFjDch+fqMHEYZzQJiCVX+n4iBCzY6DCDUjDiKszYiDCHUf4iBCzYiDCDWjqXQQ4bYWTcE6jClYuiNmMQURECIgRED0yCYCohkRAdGMiIBoRkRANCMiIJoRERDNaGwKBCQdMyIg6XhVpUZAEBAERA8iBEQzQkA0IwREM0JANCMERDNCQDSjKgHpL6a/yOGKw2bkHXJpfhYISCRzBAQBQUD0IEJANCMERDNCQDQjBEQzQkA0IwREMxqbordFAnIoApK+sbJwBQLSfAHZPVS0DX17o7vPnOmdNq2Qi85nelfeOnPx+YSCPL1jj/XvjX+LEtbiuH0cTpa8+eFnbN22AZciedUtbMPrse1lsViyYYdCdThwHgVcGh52KVPOqVChPOH/xX5KpZBPbC5mXYWc5XI+wP224c1bIR9fpqFiyQKn2M/gUNG81hKFbXindca/pf3ZbQ/b+id7Y6tmuULOZewPhz4dj3qkPh3h/8a3f0fo1/HZ2OmnHWULFsyKZh3WgGzdujs6H4979Wghnr76zdHlGS8DBCQdViIg6XhVpUZAJq+APH/RLDtsZldkDzB7ePNO6+0fis5nNAOH3w6338Ty76JDgW5+uMce7/UREK8ylX+nHSpXFhCn1vcoTyiK14Nj+50D4iN7I4vQfV4aBGkIMhv7CQ/ohXx8mYaKRRf5DIvQS6XYWo1cP6u74CIgP731QXv8yW3RhQoRkJxD+5e8AO2vkcf4DwLikc9ppx1l8xfMjmb9wAMbXQSkLGgO9+tQoS3fvDi6XghIPEIEJJIhAoKAICB6ECEgmtGIWMU/yCIgmjUCohkhIJoRAqIZTSUB2d6iKVhzmYKlO2IWUyAgCAgCokc2AqIZISCakdd0NwREs0ZANCMERDOaUgIyED99WhOtTjF3evz0xnq+N/YaIiCRBBEQBAQB0YMIAdGMEBDNCAHRjJiCpRkxBUszYgqWZjQ2xXYEJBU0BCQVrurECAgCgoDoQYSAaEYIiGaEgGhGCIhmhIBoRgiIZjQ2RV+LBGQOEZD0jZWFK9pJQK5c8QP7xeO/tRcuer4tOfS5TcXb07/dblt/d/k7G30SutcuWCxCT9ZFPJYlICBJWbMGpBYpBET3IwREM0JANCMERDNCQNIzqryCCEgcP2tHAYmsUt2Xl7ck7OhAQOomOHKhxyOo165MI2/lIytkZghIMoYsQq/NCQHR/QgB0YwQEM0IAdGMqgRkj9O2cSm/ek53/O55Kb/SJTkCEomxnQRkxeaHbG3vhsga1Xd5ZQTko2cvqy+ThFc9d85z7akd+xKmnjgZEZBkCBGQBA/FyVDKVAhIAtYOds0idNkVjUXomhGL0DWjqbQIfUeLBGQ2AqI7YhZTtJOAtJLv6p519onbl5fPQ3B4YV6zKl989Qdt557O6OoiIMkQIiAJHoqToZSpEJAErBGQmpCIgMhhZkRANCMiIJrR2BQISDpmREDS8apKjYCMIBkVkOmd3XbMnOdEUq19+V+c9Rbb1h8fckRAkjUTApLgoTgZSpkKAUnAGgFBQORIqp0AAdEAERDNCAFJz6jyCgQkjl9brQGJrErU5aMCcuK8xfaxcxo7BYtF6LqpHJ7RDnwJApLgoVg3SaIUCEgC1g6dmylYujsyBUszYgqWZjSVpmDtbNEUrFlMwdIdMYspiIAcHAFBQOJ7uccUNodnNAQkYVOWF0YnTKuSISAIiOoj6u9MwVKEjClYGpERAUkAaUySnXtbswh91rT4GSHpaxt/BRGQSIYICALCOSB6ELELlmYUUiAgCEiynjJxKgREE2QKlmaEgGhGY1MgIOmYISDpeFWlRkAQEAREDyIERDNCQDQjtuHVjBAQzQgB0YwQEM1obIpdLYqAHEIEJH1jZeEKBAQBQUD0SEZANCMERDNCQDQjBEQzQkA0IwREM0JA0jOqvIIISBw/FqHv58ci9KHInvTs5awB0Sg9FsbnOnymPLEGRLdXseSzTgYB0awREM0IAdGMEBDNCAFJzwgBiWN20NVEQIiAEAHRA4oIiGZEBEQzQkA0IwREM0JANCMERDMam2L3oNd2JOm+e2aXx2vLdN/pkZoISCRFBKT5AlIcHra+wfjdJmZ05a0QXoNHfp7q22v9g8XIXEYujy/NSD5+t0GfnG5es8Ue39bvwqg07FOmfK7DPCIpxeKwDXuUqaPDrf1Lw6EPxHMKJXJhVPJhVCwNWylULvLTVchbaH+PT9jSN+eQV3dn3gr5+N1sgoB4MNq7r+SST2A8e3qXTeuMr9stt62x9Ru2RTdbPp+3Doc2Gw792mGcjdz7Q0g2umrljSw8NrM47bQjbf78WdEFemD1Ztu6bXd0PuU6OfAJBXnm6ouiyzNeBghIOqwISDpeVakRkOYLyPRpeZve3RXZcmYPbd5hvf0+U6e8Hh3DT7THj4fXQ7rXj+tPHu6xx3sHotssZDC0r2gOz6Bl+fR4cNwXtuGNfyYeEVCPp30z82r/8HvvUSavaWpDTqy7CjlXAcnn4h+up3flrdNBQML5HeElTeynfA5IfDblYsyd2WVBsGI/v/z1o7ZhU19sNpbL5dwEJLowoxk4TQn1uo+cdsoRPgLy0FO21eHlk5dYBT4bv/ZGt2arzAgBSYcVAUnHCwGZgFcz14AgILrTej2AIiCaNQKiGSEgmhECohkhIJoRAqIZNUpA+ls0BWsGU7B0o2cxBRGQkVZFQHxiw0RA9F2CCIhm5CWgREA0a69T1REQzRoB0YwQEM2oYQIy5BQy1FU4KMWMzoOfPwb2DNpHP/8Nu/Hnd5TTffIDb7c3nX92ylwbn5wISCRjBAQBKd/wnSanIiB6QCIgmhECUpsRU7B0H2IKlmYU1oC4fZiCVRPlZJiC1d8mAvLFK68rs3zfJRdZb99Oe9flX7L3X3KRnXXGiW7d1SMjBCSSIgKCgCAgehCxBkQz8npzGfJBQBCQZD1u4lQIiCaIgGhGD0yhNSADLRKQ6RURkCAcV3x6uV325xfbccccUW6gSiHRLda8FAhIJGsEBAFBQPQgQkA0IwREM2IRumbEInTNiEXomhGL0DWjsSnaQUAeW7/JPvyZ5fa3Vyw7ICA/uOl2u2PFavv4ZW932cAnPZnxr0BAIkkiIAgIAqIHEQKiGSEgmhECohkhIJoRAqIZISCaUbsKyOe/eq195kPL7NA5I9soIyDp23JSXIGAHCwgMzq77Zg5I2G/Rn3+5g/eaofPmh2dPdvwaoTsgqUZsQuWZsQuWJoRi9A1Ixaha0ZeLzIQkGSs2y0VEZB2a5EGlgcBOVhAGoj6QNbfvfCjtnDO3OivQkA0QgREM0JANCMERDNCQDQjBEQzQkA0o0btgqW/ufEpWAPSeMZt8w0IyEhT9A/tsce3b25Ku5x+xGKbNWN69HchIBohAqIZISCaEQKiGSEgmhECohkhIJpRlgUk1J5dsHQfyEQKBKT5zchBhJq51y5ICIhmjYBoRgiIZoSAaEYIiGaEgGhGWRcQzgHRfSATKRCQ5jcjAqKZIyCaUSHXYblc/AGSCIhmjYBoRgiIZoSAaEYIiGaUdQHRBNojBbtgRbYDAhIJsI7LERANDQHRjBAQzYiT0DUjTkLXjObO7LLuzrxOKFIgIMkQhkP7Yj8sQo8lyPWKAAKiCIm/IyCRAOu4HAHR0BAQzQgB0YwQEM0IAdGMEBDNyDgJvSakyXASeoJWJkkFAQQksjsgIJEA67gcAdHQEBDNCAHRjBAQzQgB0YwQEM0IAanNCAFJ0IcmWRIEJLLBEJBIgHVcjoBoaAiIZoSAaEYIiGaEgGhGCIhmhIAgIAl6SaaSICCRzYmARAKs4/JpnTnL5+PnEz+9Y4/1DxbrKEH1JfEzbkfyLOfjMH93eHjYpV5emax+Zpdt7R9yya5UKlnJoXp5pykPQfa8cDs0fZmxB5/R/uhRplLJZz+1olPF8mEDAo+KmZlXXiMiE38nCZsieGAqb67gMmLNwgL7Qj4Xnduj63pse9+e6HzKayQ82t9r4I/WyKNMPj8hdsRz5tghh3RHs37q6R22u38wOp/w6+iEx7701qUO5SGLWAIISCxBrocABCAAAQhAAAIQgAAEEhNAQBKjIiEEIAABCEAAAhCAAAQgEEsAAYklyPUQgAAEIAABCEAAAhCAQGICCEhiVCSEAAQgAAEIQAACEIAABGIJICCxBLkeAhCAAAQgAAEIQAACEEhMAAFJjIqEEIAABCAAAQhAAAIQgEAsAQQkliDXQwACEIAABCAAAQhAAAKJCSAgiVGREAIQgAAEIAABCEAAAhCIJYCAxBLk+pYR6O3bae+6/Eu26sG1VWU49aQl9rXP/pUdOmdWovJ55ZXVfAKNlODEAAAOWklEQVTEZtStsrFUG9Yqz2TOR7GezHXzarN2ZDTaLj+46Xb7689940AzfevvLrezzjgx0X2oMpFXPiFPr7zaPZ9PfuDt9qbzz07NejxG9eY1lhH5VDdHuzGqq8NwUTQBBCQaIRm0G4Gr/vEGe8XLltpxxxwRXTSvvLKaTwCc1bq1W71gnWw4t7LdvnjldXbnvQ8dePkxKlwXXfDyVA/GXvkEYl55tXs+A3sG7aOf/4YtWnCYve+Si5J1lv2pxtat3rzIR2NvN0a6xKRoFAEEpFFkybdlBB5bv8n+6Qe32GXvutimd3dFlcMrr6zmE+BmtW7tVi9YJxvKrWq3IBtXfHq5XfbnFx/08iOU5/NfvdY+86FliSKyXvkEWl55tWM+n/nKP9kVl/7JQUxDOcf791o9Z6Jr0uZFPnp8thsjXWJSNJIAAtJIuuTdEgJpf/BrFdIrr6zmM/pQnOYBayLeaX/wp1o+ow+UaR+wxuOUVdatZNRuD+lZFpDRCEWo48cve3v5RdN4/5bkB8grL/LRtNuNkS4xKRpJAAFpJF3yhgAEEhMIofmnntl24IEi8YVjEmY1n1DNrNbNq16tZhTqET6VU4DG+zfVt73yGeXRTmXyqtvow+yNP7/jAM7XvuLFdd0/vPIiH9Wz7YAoxrabF2tdYlI0igAC0iiy5Ns0AmMXtI1+cT2L/zzz8gDQbuXxqNNEC5Gfs/Bwu/Jz70+8dier+Yy+uR5vgwUYPdsD2639PcYGeUAAAhCYKgQQkKnS0hmt50RvTutZROiRV3go+ua1P7F3vfUNVetPav1tvOZpt/J41i2j3ZFqQcCNgOfLB8+83CpIRhCAwJQmgIBM6eaf3JWfaM71aK3SrLvwyks9pCedv99u5Rl9K19LrpLWbXL3OkoPgfEJqLE/0dhp1MuH0Xzb6UWGF6Msb+fsVbd2y6dWZHfsGGjWFuzcy1pLAAFpLX++PYKA10P66I1xvB1s0spMkpu+urm2Y3mS/ngkqVtlk4++ma1nutxoPuO93a13LnhEd3S/tNbagXrWFcSwHu3Xv3PGieNucRoijtffeJtd+NpzEu88F1Oeyofr8N/jbbuahpEHa/VwnVTQ2/W+5vHywYuR+2Ajw5oEwvh42e+edtB5NmH8HnXEgrrOuBn7Za3cOpumbx0BBKR17PlmBwIeb/ea9aYwbXU96pZ22letMnrmVSkPjz/5VPl/1rMAfSyj0R/KJzc9Y1/99o8SrSlRD0VJ31x75RNYhAf6z3/tWvuTN5037pqYeraaDQ8M9bIefSje3rfT3v9n/63qoaOeXbViyuPJyIt1u718aMcXGV6M0t5LSV8/gYnGdj1jfqJS1HM/Gy8vr3zqp8WVaQggIGlokbYtCXjOb47Ny/shvZ3K41230JlGH0LDG+y77n3IvnDldYlPsB/vTXHI41e/WVl+I1753/WKVZofWSUgSd+Ajz44jk1f+RYyTbnGyl69rEN5/uytr7fP/cM/V5110ezyeDIar+z1sPYcHx4vH9rxxYono7b8McpgoSZaTxnu3dfd8MvE92t1D05zf5wor3ruQxlssklTJQRk0jQVBYVA9ghUCkioXXiDdckHvmCfuWKZDO0rAUn6Y+T1VtYrn4neXIeH0mOPWlQ+UTvN+qbxBKQe1qMPCNu276w6WK/Z5fFkNF4/qoe198N17MuHyrtFbF5edfPKJ9Rt7LS5sXVMMx3UYwreeLxjppbG3u1H70ce0ybH2/I2DV9VF69tuL3yUeXl7z4EEBAfjuQCAQgkJOD5oF754DD6I/nipSenekj3eijyyqfyzXX47xCxCA/4P7r5P2zBvEPL6yx+cusddseK1fLMAy/WY2UuRJeu+MzyA1PcxopkrTeU420vXJk+zYNNZfvXy2jsw2xMPgmHAMkiCYw3ba4y4pn05UMohtcUvLECEjPd0WMnxUZMm4xsNpvoftSq7cVj68P1cQQQkDh+XN3GBNL8CI1Wo50WNFferEcfyn7xn/fYX3/uG5bmIW1s3WLeynm+dQzlSvrgOlE3G/tm7k/fcv64C5JrdVMvcfDKZ7SslXUb/YHe1rvD3vbez1raH+xY1uONpdFo1eant9bdH8ND2ngLyJPeVrwYeeWTtNykiyMwXn+sV0C8puCNJyD1Tnf0WvDvPW0yrtW4GgIHE0BA6BGTlsB4UycqK5NWQNppQfPoW9nRKTejMhL+/Wuf/St7dN3GA2sdkjZgIxb91vujXylFsQ+hSes/1dPFyp43v3Yrj3f9GpVf2vuaVzka8fIhvEyp54XIePf+yv6UhpHXFLyJBCT8e9qppR5RwkoGXtMmvfoS+UAgEEBA6AeTmsDojT1UYuwp2rE/Qq1e0Dx2UV7ltofhje3Xvv2v9j8v/kM7dM6sRG0Ys+A7fIHnW0ePOdeec5y9o03jNUja/hgeQmLnb3syGlun0IbX/PNN5X9Os+2x94NsZbnqLVPIIzb6WSsCliY65vlixatMnlOexr58CP+7nh3wxgpHGC/vv+Si8tqxNGNt9GVP+P/bZbpj0p33at34vaZNJvpxaXKiRt7XmlyVKf11CMiUbv7sVD7IQpiaUjk1Kc2P0Hg/+vW83Z9ojmsl6STTp8Y+OIytS6yApH0rNyogY89Kqeeto9ec69E289gatnLRcb3RJu8Hx8A6tm5ejMbWLbR75RqUpGdueD7IepVp9AG08iG4Eds5p9nlx/PFiud0nisu/ZMDLzzquT9OFCVIuwPeaD6VwlkZSUlz7w95eU/Bi4nupZHVNAJSec9PM23SS2JHf0Oyur4lO09TzasJAtI81nxTEwhUisinr1hmX//2j6zyR7NWEdppQfPoQ9Ho4U/lLQ9//As796Vn2jv/+wXlLWa/f8Mvm7YIeexby/CmcPRBPe1bx/EeDurd9tRjjvN45ak32uT54OhZt9jtc8cyGnswWdJdsDyjaJ5lGivW9UY/PabOVN6jPF6seJRpPLmu5+XDRAJSzwuRJvyc1P0VMQJS95c26EIlIGnE2iuv0bEfe19rEDKyTUgAAUkIimSTi8B4P9yqBu20oHnsW7mxi9CbvQi5kl3sW8fxHmbq3fbUY2vYRkSbPB4cvermkc9YIY4REI8oWuUb8FFJ9yxTPW/3vd5cj3efqvfFimeZPKY8eUWI1b2cv/sR8Gwzr7wqXz6wvsWvrZudEwLSbOJ8HwRaRKCd3sp5bJ869g14vVvDekWbvB8cK98s1ls3T0aVC2lDXUcPfJzooLKJurnHg+xo3l5larfo50Ts0r5Y8RSQ0XEyuu4nZspTyKud7kctuiVPiq/17ENeeXne1yZFI2S0kAhIRhuWakGgnQl4zLkebzpPvVvDVpbHI9o0ln09D45jpzbUUzdPRmOjcpV1TLuTUWwUrfK7xzskLfw9TZk8op/tPN7asWwISDu2SnWZvKQh5OyVl/d9bXK0RPZKiYBkr02pEQQgAAEIQAACEIAABNqWAALStk1DwSAAAQhAAAIQgAAEIJA9AghI9tqUGkEAAhCAAAQgAAEIQKBtCSAgbds0FAwCEIAABCAAAQhAAALZI4CAZK9NqREEIAABCEAAAhCAAATalgAC0rZNQ8EgAAEIQAACEIAABCCQPQIISPbalBpBAAIQgAAEIAABCECgbQkgIG3bNBQMAhCAAAQgAAEIQAAC2SOAgGSvTakRBCAAAQhAAAIQgAAE2pYAAtK2TUPBIAABCEAAAhCAAAQgkD0CCEj22pQaQQACEIAABCAAAQhAoG0JICBt2zQUDAIQgAAEIAABCEAAAtkjgIBkr02pEQQgAAEIQAACEIAABNqWAALStk1DwSAAAQhAAAIQgAAEIJA9AghI9tqUGkEAAhCAAAQgAAEIQKBtCSAgbds0FAwCEIAABCAAAQhAAALZI4CAZK9NqREEIAABCEAAAhCAAATalgAC0rZNQ8EgAAEIQAACEIAABCCQPQIISPbalBpBAAIQgAAEIAABCECgbQkgIG3bNBQMAhCAAAQgAAEIQAAC2SOAgGSvTakRBCAAAQhAAAIQgAAE2pYAAtK2TUPBIAABCEAAAhCAAAQgkD0CCEj22pQaQQACEIAABCAAAQhAoG0JICBt2zQUDAIQgAAEIAABCEAAAtkjgIBkr02pEQQgAAEIQAACEIAABNqWAALStk1DwSAAAQhAAAIQgAAEIJA9AghI9tqUGkEAAhCAAAQgAAEIQKBtCSAgbds0FAwCEIAABCAAAQhAAALZI4CAZK9NqREEIAABCEAAAhCAAATalgAC0rZNQ8EgAAEIQAACEIAABCCQPQIISPbalBpBAAIQgAAEIAABCECgbQkgIG3bNBQMAhCAAAQgAAEIQAAC2SOAgGSvTakRBCAAAQhAAAIQgAAE2pYAAtK2TUPBIAABCEAAAhCAAAQgkD0CCEj22pQaQQACEIAABCAAAQhAoG0JICBt2zQUDAIQgAAEIAABCEAAAtkjgIBkr02pEQQgAAEIQAACEIAABNqWAALStk1DwSAAAQhAAAIQgAAEIJA9AghI9tqUGkEAAhCAAAQgAAEIQKBtCSAgbds0FAwCEIAABCAAAQhAAALZI4CAZK9NqREEIAABCEAAAhCAAATalgAC0rZNQ8EgAAEIQAACEIAABCCQPQIISPbalBpBAAIQgAAEIAABCECgbQkgIG3bNBQMAhCAAAQgAAEIQAAC2SOAgGSvTakRBCAAAQhAAAIQgAAE2pYAAtK2TUPBIAABCEAAAhCAAAQgkD0CCEj22pQaQQACEIAABCAAAQhAoG0JICBt2zQUDAIQgAAEIAABCEAAAtkjgIBkr02pEQQgAAEIQAACEIAABNqWAALStk1DwSAAAQhAAAIQgAAEIJA9AghI9tqUGkEAAhCAAAQgAAEIQKBtCfxfa+ktwttYppYAAAAASUVORK5CYII="
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import plotly.graph_objects as go\n",
    "import plotly.figure_factory as ff\n",
    "\n",
    "import numpy as np\n",
    "from scipy.spatial.distance import pdist, squareform\n",
    "\n",
    "\n",
    "# get data\n",
    "data = np.genfromtxt(\"http://files.figshare.com/2133304/ExpRawData_E_TABM_84_A_AFFY_44.tab\",\n",
    "                     names=True,usecols=tuple(range(1,30)),dtype=float, delimiter=\"\\t\")\n",
    "data_array = data.view((np.float, len(data.dtype.names)))\n",
    "data_array = data_array.transpose()\n",
    "labels = data.dtype.names\n",
    "\n",
    "# Initialize figure by creating upper dendrogram\n",
    "fig = ff.create_dendrogram(data_array, orientation='bottom', labels=labels)\n",
    "for i in range(len(fig['data'])):\n",
    "    fig['data'][i]['yaxis'] = 'y2'\n",
    "\n",
    "# Create Side Dendrogram\n",
    "dendro_side = ff.create_dendrogram(data_array, orientation='right')\n",
    "for i in range(len(dendro_side['data'])):\n",
    "    dendro_side['data'][i]['xaxis'] = 'x2'\n",
    "\n",
    "# Add Side Dendrogram Data to Figure\n",
    "for data in dendro_side['data']:\n",
    "    fig.add_trace(data)\n",
    "\n",
    "# Create Heatmap\n",
    "dendro_leaves = dendro_side['layout']['yaxis']['ticktext']\n",
    "dendro_leaves = list(map(int, dendro_leaves))\n",
    "data_dist = pdist(data_array)\n",
    "heat_data = squareform(data_dist)\n",
    "heat_data = heat_data[dendro_leaves,:]\n",
    "heat_data = heat_data[:,dendro_leaves]\n",
    "\n",
    "heatmap = [\n",
    "    go.Heatmap(\n",
    "        x = dendro_leaves,\n",
    "        y = dendro_leaves,\n",
    "        z = heat_data,\n",
    "        colorscale = 'Blues'\n",
    "    )\n",
    "]\n",
    "\n",
    "heatmap[0]['x'] = fig['layout']['xaxis']['tickvals']\n",
    "heatmap[0]['y'] = dendro_side['layout']['yaxis']['tickvals']\n",
    "\n",
    "# Add Heatmap Data to Figure\n",
    "for data in heatmap:\n",
    "    fig.add_trace(data)\n",
    "\n",
    "# Edit Layout\n",
    "fig.update_layout({'width':800, 'height':800,\n",
    "                         'showlegend':False, 'hovermode': 'closest',\n",
    "                         })\n",
    "# Edit xaxis\n",
    "fig.update_layout(xaxis={'domain': [.15, 1],\n",
    "                                  'mirror': False,\n",
    "                                  'showgrid': False,\n",
    "                                  'showline': False,\n",
    "                                  'zeroline': False,\n",
    "                                  'ticks':\"\"})\n",
    "# Edit xaxis2\n",
    "fig.update_layout(xaxis2={'domain': [0, .15],\n",
    "                                   'mirror': False,\n",
    "                                   'showgrid': False,\n",
    "                                   'showline': False,\n",
    "                                   'zeroline': False,\n",
    "                                   'showticklabels': False,\n",
    "                                   'ticks':\"\"})\n",
    "\n",
    "# Edit yaxis\n",
    "fig.update_layout(yaxis={'domain': [0, .85],\n",
    "                                  'mirror': False,\n",
    "                                  'showgrid': False,\n",
    "                                  'showline': False,\n",
    "                                  'zeroline': False,\n",
    "                                  'showticklabels': False,\n",
    "                                  'ticks': \"\"\n",
    "                        })\n",
    "# Edit yaxis2\n",
    "fig.update_layout(yaxis2={'domain':[.825, .975],\n",
    "                                   'mirror': False,\n",
    "                                   'showgrid': False,\n",
    "                                   'showline': False,\n",
    "                                   'zeroline': False,\n",
    "                                   'showticklabels': False,\n",
    "                                   'ticks':\"\"})\n",
    "\n",
    "# Plot!\n",
    "fig.show(renderer=\"png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "humanitarian-theorem",
   "metadata": {},
   "source": [
    "这个是一个距离矩阵，代表元素之间的距离。\n",
    "树形图是分层聚类。\n",
    "树形深度轴上的数值对应于聚类之间的距离。\n",
    "可以设定一个阈值，相邻距离小于阈值的簇分为一类。"
   ]
  }
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